3y-7y+2=5y+8y-15

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Solution for 3y-7y+2=5y+8y-15 equation:


Simplifying
3y + -7y + 2 = 5y + 8y + -15

Reorder the terms:
2 + 3y + -7y = 5y + 8y + -15

Combine like terms: 3y + -7y = -4y
2 + -4y = 5y + 8y + -15

Reorder the terms:
2 + -4y = -15 + 5y + 8y

Combine like terms: 5y + 8y = 13y
2 + -4y = -15 + 13y

Solving
2 + -4y = -15 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
2 + -4y + -13y = -15 + 13y + -13y

Combine like terms: -4y + -13y = -17y
2 + -17y = -15 + 13y + -13y

Combine like terms: 13y + -13y = 0
2 + -17y = -15 + 0
2 + -17y = -15

Add '-2' to each side of the equation.
2 + -2 + -17y = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -17y = -15 + -2
-17y = -15 + -2

Combine like terms: -15 + -2 = -17
-17y = -17

Divide each side by '-17'.
y = 1

Simplifying
y = 1

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