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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