4(y+2)-5y=y+12

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Solution for 4(y+2)-5y=y+12 equation:


Simplifying
4(y + 2) + -5y = y + 12

Reorder the terms:
4(2 + y) + -5y = y + 12
(2 * 4 + y * 4) + -5y = y + 12
(8 + 4y) + -5y = y + 12

Combine like terms: 4y + -5y = -1y
8 + -1y = y + 12

Reorder the terms:
8 + -1y = 12 + y

Solving
8 + -1y = 12 + 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 + -1y + -1y = 12 + y + -1y

Combine like terms: -1y + -1y = -2y
8 + -2y = 12 + y + -1y

Combine like terms: y + -1y = 0
8 + -2y = 12 + 0
8 + -2y = 12

Add '-8' to each side of the equation.
8 + -8 + -2y = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = 12 + -8
-2y = 12 + -8

Combine like terms: 12 + -8 = 4
-2y = 4

Divide each side by '-2'.
y = -2

Simplifying
y = -2

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