2(4y-10)=5y-32

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Solution for 2(4y-10)=5y-32 equation: 


Simplifying
2(4y + -10) = 5y + -32

Reorder the terms:
2(-10 + 4y) = 5y + -32
(-10 * 2 + 4y * 2) = 5y + -32
(-20 + 8y) = 5y + -32

Reorder the terms:
-20 + 8y = -32 + 5y

Solving
-20 + 8y = -32 + 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.
-20 + 8y + -5y = -32 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-20 + 3y = -32 + 5y + -5y

Combine like terms: 5y + -5y = 0
-20 + 3y = -32 + 0
-20 + 3y = -32

Add '20' to each side of the equation.
-20 + 20 + 3y = -32 + 20

Combine like terms: -20 + 20 = 0
0 + 3y = -32 + 20
3y = -32 + 20

Combine like terms: -32 + 20 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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