6-(2y-7)=9-3y

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Solution for 6-(2y-7)=9-3y equation:


Simplifying
6 + -1(2y + -7) = 9 + -3y

Reorder the terms:
6 + -1(-7 + 2y) = 9 + -3y
6 + (-7 * -1 + 2y * -1) = 9 + -3y
6 + (7 + -2y) = 9 + -3y

Combine like terms: 6 + 7 = 13
13 + -2y = 9 + -3y

Solving
13 + -2y = 9 + -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.
13 + -2y + 3y = 9 + -3y + 3y

Combine like terms: -2y + 3y = 1y
13 + 1y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
13 + 1y = 9 + 0
13 + 1y = 9

Add '-13' to each side of the equation.
13 + -13 + 1y = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 1y = 9 + -13
1y = 9 + -13

Combine like terms: 9 + -13 = -4
1y = -4

Divide each side by '1'.
y = -4

Simplifying
y = -4

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