10-(4y-9)=7-5y

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Solution for 10-(4y-9)=7-5y equation: 


Simplifying
10 + -1(4y + -9) = 7 + -5y

Reorder the terms:
10 + -1(-9 + 4y) = 7 + -5y
10 + (-9 * -1 + 4y * -1) = 7 + -5y
10 + (9 + -4y) = 7 + -5y

Combine like terms: 10 + 9 = 19
19 + -4y = 7 + -5y

Solving
19 + -4y = 7 + -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.
19 + -4y + 5y = 7 + -5y + 5y

Combine like terms: -4y + 5y = 1y
19 + 1y = 7 + -5y + 5y

Combine like terms: -5y + 5y = 0
19 + 1y = 7 + 0
19 + 1y = 7

Add '-19' to each side of the equation.
19 + -19 + 1y = 7 + -19

Combine like terms: 19 + -19 = 0
0 + 1y = 7 + -19
1y = 7 + -19

Combine like terms: 7 + -19 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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