Answer
y=-4
Work Step by Step
Simplifying
2(y + -3) = 4 + (y + -14)
Reorder the terms:
2(-3 + y) = 4 + (y + -14)
(-3 * 2 + y * 2) = 4 + (y + -14)
(-6 + 2y) = 4 + (y + -14)
Reorder the terms:
-6 + 2y = 4 + (-14 + y)
Remove parenthesis around (-14 + y)
-6 + 2y = 4 + -14 + y
Combine like terms: 4 + -14 = -10
-6 + 2y = -10 + y
Solving
-6 + 2y = -10 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
-6 + 2y + -1y = -10 + y + -1y
Combine like terms: 2y + -1y = 1y
-6 + 1y = -10 + y + -1y
Combine like terms: y + -1y = 0
-6 + 1y = -10 + 0
-6 + 1y = -10
Add '6' to each side of the equation.
-6 + 6 + 1y = -10 + 6
Combine like terms: -6 + 6 = 0
0 + 1y = -10 + 6
1y = -10 + 6
Combine like terms: -10 + 6 = -4
1y = -4
Divide each side by '1'.
y = -4
Simplifying
y = -4
