3(3y-2)+13-2y=56

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Solution for 3(3y-2)+13-2y=56 equation:


Simplifying
3(3y + -2) + 13 + -2y = 56

Reorder the terms:
3(-2 + 3y) + 13 + -2y = 56
(-2 * 3 + 3y * 3) + 13 + -2y = 56
(-6 + 9y) + 13 + -2y = 56

Reorder the terms:
-6 + 13 + 9y + -2y = 56

Combine like terms: -6 + 13 = 7
7 + 9y + -2y = 56

Combine like terms: 9y + -2y = 7y
7 + 7y = 56

Solving
7 + 7y = 56

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + 7y = 56 + -7

Combine like terms: 7 + -7 = 0
0 + 7y = 56 + -7
7y = 56 + -7

Combine like terms: 56 + -7 = 49
7y = 49

Divide each side by '7'.
y = 7

Simplifying
y = 7

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