5y-2y+15=5y+(-6+7)

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Solution for 5y-2y+15=5y+(-6+7) equation:


Simplifying
5y + -2y + 15 = 5y + (-6 + 7)

Reorder the terms:
15 + 5y + -2y = 5y + (-6 + 7)

Combine like terms: 5y + -2y = 3y
15 + 3y = 5y + (-6 + 7)

Combine like terms: -6 + 7 = 1
15 + 3y = 5y + (1)
15 + 3y = 5y + 1

Reorder the terms:
15 + 3y = 1 + 5y

Solving
15 + 3y = 1 + 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.
15 + 3y + -5y = 1 + 5y + -5y

Combine like terms: 3y + -5y = -2y
15 + -2y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -2y = 1 + 0
15 + -2y = 1

Add '-15' to each side of the equation.
15 + -15 + -2y = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = 1 + -15
-2y = 1 + -15

Combine like terms: 1 + -15 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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