7-(2y-9)=8-3y

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Solution for 7-(2y-9)=8-3y equation:


Simplifying
7 + -1(2y + -9) = 8 + -3y

Reorder the terms:
7 + -1(-9 + 2y) = 8 + -3y
7 + (-9 * -1 + 2y * -1) = 8 + -3y
7 + (9 + -2y) = 8 + -3y

Combine like terms: 7 + 9 = 16
16 + -2y = 8 + -3y

Solving
16 + -2y = 8 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
16 + -2y + 3y = 8 + -3y + 3y

Combine like terms: -2y + 3y = 1y
16 + 1y = 8 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + 1y = 8 + 0
16 + 1y = 8

Add '-16' to each side of the equation.
16 + -16 + 1y = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 1y = 8 + -16
1y = 8 + -16

Combine like terms: 8 + -16 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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