10-(4y-7)=2-5y

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Solution for 10-(4y-7)=2-5y equation: 


Simplifying
10 + -1(4y + -7) = 2 + -5y

Reorder the terms:
10 + -1(-7 + 4y) = 2 + -5y
10 + (-7 * -1 + 4y * -1) = 2 + -5y
10 + (7 + -4y) = 2 + -5y

Combine like terms: 10 + 7 = 17
17 + -4y = 2 + -5y

Solving
17 + -4y = 2 + -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.
17 + -4y + 5y = 2 + -5y + 5y

Combine like terms: -4y + 5y = 1y
17 + 1y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
17 + 1y = 2 + 0
17 + 1y = 2

Add '-17' to each side of the equation.
17 + -17 + 1y = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 1y = 2 + -17
1y = 2 + -17

Combine like terms: 2 + -17 = -15
1y = -15

Divide each side by '1'.
y = -15

Simplifying
y = -15

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