5y-(2y-10)=25-5y+7

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Solution for 5y-(2y-10)=25-5y+7 equation: 


Simplifying
5y + -1(2y + -10) = 25 + -5y + 7

Reorder the terms:
5y + -1(-10 + 2y) = 25 + -5y + 7
5y + (-10 * -1 + 2y * -1) = 25 + -5y + 7
5y + (10 + -2y) = 25 + -5y + 7

Reorder the terms:
10 + 5y + -2y = 25 + -5y + 7

Combine like terms: 5y + -2y = 3y
10 + 3y = 25 + -5y + 7

Reorder the terms:
10 + 3y = 25 + 7 + -5y

Combine like terms: 25 + 7 = 32
10 + 3y = 32 + -5y

Solving
10 + 3y = 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.
10 + 3y + 5y = 32 + -5y + 5y

Combine like terms: 3y + 5y = 8y
10 + 8y = 32 + -5y + 5y

Combine like terms: -5y + 5y = 0
10 + 8y = 32 + 0
10 + 8y = 32

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

Combine like terms: 10 + -10 = 0
0 + 8y = 32 + -10
8y = 32 + -10

Combine like terms: 32 + -10 = 22
8y = 22

Divide each side by '8'.
y = 2.75

Simplifying
y = 2.75

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