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

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


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

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

Combine like terms: 7 + 9 = 16
16 + -4y = 9 + -5y

Solving
16 + -4y = 9 + -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.
16 + -4y + 5y = 9 + -5y + 5y

Combine like terms: -4y + 5y = 1y
16 + 1y = 9 + -5y + 5y

Combine like terms: -5y + 5y = 0
16 + 1y = 9 + 0
16 + 1y = 9

Add '-16' to each side of the equation.
16 + -16 + 1y = 9 + -16

Combine like terms: 16 + -16 = 0
0 + 1y = 9 + -16
1y = 9 + -16

Combine like terms: 9 + -16 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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