8-5(2y-3)=14-9y

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Solution for 8-5(2y-3)=14-9y equation:


Simplifying
8 + -5(2y + -3) = 14 + -9y

Reorder the terms:
8 + -5(-3 + 2y) = 14 + -9y
8 + (-3 * -5 + 2y * -5) = 14 + -9y
8 + (15 + -10y) = 14 + -9y

Combine like terms: 8 + 15 = 23
23 + -10y = 14 + -9y

Solving
23 + -10y = 14 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
23 + -10y + 9y = 14 + -9y + 9y

Combine like terms: -10y + 9y = -1y
23 + -1y = 14 + -9y + 9y

Combine like terms: -9y + 9y = 0
23 + -1y = 14 + 0
23 + -1y = 14

Add '-23' to each side of the equation.
23 + -23 + -1y = 14 + -23

Combine like terms: 23 + -23 = 0
0 + -1y = 14 + -23
-1y = 14 + -23

Combine like terms: 14 + -23 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9

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