Answer
y=10
Work Step by Step
Simplifying
y + -4 = 2(y + -7)
Reorder the terms:
-4 + y = 2(y + -7)
Reorder the terms:
-4 + y = 2(-7 + y)
-4 + y = (-7 * 2 + y * 2)
-4 + y = (-14 + 2y)
Solving
-4 + y = -14 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-4 + y + -2y = -14 + 2y + -2y
Combine like terms: y + -2y = -1y
-4 + -1y = -14 + 2y + -2y
Combine like terms: 2y + -2y = 0
-4 + -1y = -14 + 0
-4 + -1y = -14
Add '4' to each side of the equation.
-4 + 4 + -1y = -14 + 4
Combine like terms: -4 + 4 = 0
0 + -1y = -14 + 4
-1y = -14 + 4
Combine like terms: -14 + 4 = -10
-1y = -10
Divide each side by '-1'.
y = 10
Simplifying
y = 10
