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

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


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

Reorder the terms:
4(6 + y) = 5(y + -2)
(6 * 4 + y * 4) = 5(y + -2)
(24 + 4y) = 5(y + -2)

Reorder the terms:
24 + 4y = 5(-2 + y)
24 + 4y = (-2 * 5 + y * 5)
24 + 4y = (-10 + 5y)

Solving
24 + 4y = -10 + 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.
24 + 4y + -5y = -10 + 5y + -5y

Combine like terms: 4y + -5y = -1y
24 + -1y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
24 + -1y = -10 + 0
24 + -1y = -10

Add '-24' to each side of the equation.
24 + -24 + -1y = -10 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = -10 + -24
-1y = -10 + -24

Combine like terms: -10 + -24 = -34
-1y = -34

Divide each side by '-1'.
y = 34

Simplifying
y = 34

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