Answer
y = -1.333333333
Work Step by Step
Simplifying
4(5y + -2) + 3(2y + 6) = 25(3y + 2) + -19y
Reorder the terms:
4(-2 + 5y) + 3(2y + 6) = 25(3y + 2) + -19y
(-2 * 4 + 5y * 4) + 3(2y + 6) = 25(3y + 2) + -19y
(-8 + 20y) + 3(2y + 6) = 25(3y + 2) + -19y
Reorder the terms:
-8 + 20y + 3(6 + 2y) = 25(3y + 2) + -19y
-8 + 20y + (6 * 3 + 2y * 3) = 25(3y + 2) + -19y
-8 + 20y + (18 + 6y) = 25(3y + 2) + -19y
Reorder the terms:
-8 + 18 + 20y + 6y = 25(3y + 2) + -19y
Combine like terms: -8 + 18 = 10
10 + 20y + 6y = 25(3y + 2) + -19y
Combine like terms: 20y + 6y = 26y
10 + 26y = 25(3y + 2) + -19y
Reorder the terms:
10 + 26y = 25(2 + 3y) + -19y
10 + 26y = (2 * 25 + 3y * 25) + -19y
10 + 26y = (50 + 75y) + -19y
Combine like terms: 75y + -19y = 56y
10 + 26y = 50 + 56y
Solving
10 + 26y = 50 + 56y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-56y' to each side of the equation.
10 + 26y + -56y = 50 + 56y + -56y
Combine like terms: 26y + -56y = -30y
10 + -30y = 50 + 56y + -56y
Combine like terms: 56y + -56y = 0
10 + -30y = 50 + 0
10 + -30y = 50
Add '-10' to each side of the equation.
10 + -10 + -30y = 50 + -10
Combine like terms: 10 + -10 = 0
0 + -30y = 50 + -10
-30y = 50 + -10
Combine like terms: 50 + -10 = 40
-30y = 40
Divide each side by '-30'.
y = -1.333333333
Simplifying
y = -1.333333333
