4(2-y)=y-7

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Solution for 4(2-y)=y-7 equation:


Simplifying
4(2 + -1y) = y + -7
(2 * 4 + -1y * 4) = y + -7
(8 + -4y) = y + -7

Reorder the terms:
8 + -4y = -7 + y

Solving
8 + -4y = -7 + 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.
8 + -4y + -1y = -7 + y + -1y

Combine like terms: -4y + -1y = -5y
8 + -5y = -7 + y + -1y

Combine like terms: y + -1y = 0
8 + -5y = -7 + 0
8 + -5y = -7

Add '-8' to each side of the equation.
8 + -8 + -5y = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = -7 + -8
-5y = -7 + -8

Combine like terms: -7 + -8 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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