4(2y+8)=10(y-2)

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Solution for 4(2y+8)=10(y-2) equation: 


Simplifying
4(2y + 8) = 10(y + -2)

Reorder the terms:
4(8 + 2y) = 10(y + -2)
(8 * 4 + 2y * 4) = 10(y + -2)
(32 + 8y) = 10(y + -2)

Reorder the terms:
32 + 8y = 10(-2 + y)
32 + 8y = (-2 * 10 + y * 10)
32 + 8y = (-20 + 10y)

Solving
32 + 8y = -20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
32 + 8y + -10y = -20 + 10y + -10y

Combine like terms: 8y + -10y = -2y
32 + -2y = -20 + 10y + -10y

Combine like terms: 10y + -10y = 0
32 + -2y = -20 + 0
32 + -2y = -20

Add '-32' to each side of the equation.
32 + -32 + -2y = -20 + -32

Combine like terms: 32 + -32 = 0
0 + -2y = -20 + -32
-2y = -20 + -32

Combine like terms: -20 + -32 = -52
-2y = -52

Divide each side by '-2'.
y = 26

Simplifying
y = 26

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