4(y+2)=5(y-6)

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Solution for 4(y+2)=5(y-6) equation: 


Simplifying
4(y + 2) = 5(y + -6)

Reorder the terms:
4(2 + y) = 5(y + -6)
(2 * 4 + y * 4) = 5(y + -6)
(8 + 4y) = 5(y + -6)

Reorder the terms:
8 + 4y = 5(-6 + y)
8 + 4y = (-6 * 5 + y * 5)
8 + 4y = (-30 + 5y)

Solving
8 + 4y = -30 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
8 + 4y + -5y = -30 + 5y + -5y

Combine like terms: 4y + -5y = -1y
8 + -1y = -30 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -1y = -30 + 0
8 + -1y = -30

Add '-8' to each side of the equation.
8 + -8 + -1y = -30 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -30 + -8
-1y = -30 + -8

Combine like terms: -30 + -8 = -38
-1y = -38

Divide each side by '-1'.
y = 38

Simplifying
y = 38

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