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

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Solution for 10(y+4)=12(y-2) equation: 


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

Reorder the terms:
10(4 + y) = 12(y + -2)
(4 * 10 + y * 10) = 12(y + -2)
(40 + 10y) = 12(y + -2)

Reorder the terms:
40 + 10y = 12(-2 + y)
40 + 10y = (-2 * 12 + y * 12)
40 + 10y = (-24 + 12y)

Solving
40 + 10y = -24 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
40 + 10y + -12y = -24 + 12y + -12y

Combine like terms: 10y + -12y = -2y
40 + -2y = -24 + 12y + -12y

Combine like terms: 12y + -12y = 0
40 + -2y = -24 + 0
40 + -2y = -24

Add '-40' to each side of the equation.
40 + -40 + -2y = -24 + -40

Combine like terms: 40 + -40 = 0
0 + -2y = -24 + -40
-2y = -24 + -40

Combine like terms: -24 + -40 = -64
-2y = -64

Divide each side by '-2'.
y = 32

Simplifying
y = 32

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