y+5=2(y-4)

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Solution for y+5=2(y-4) equation:


Simplifying
y + 5 = 2(y + -4)

Reorder the terms:
5 + y = 2(y + -4)

Reorder the terms:
5 + y = 2(-4 + y)
5 + y = (-4 * 2 + y * 2)
5 + y = (-8 + 2y)

Solving
5 + y = -8 + 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.
5 + y + -2y = -8 + 2y + -2y

Combine like terms: y + -2y = -1y
5 + -1y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + -1y = -8 + 0
5 + -1y = -8

Add '-5' to each side of the equation.
5 + -5 + -1y = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = -8 + -5
-1y = -8 + -5

Combine like terms: -8 + -5 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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