6y+3+2y+5=13y-12

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Solution for 6y+3+2y+5=13y-12 equation:


Simplifying
6y + 3 + 2y + 5 = 13y + -12

Reorder the terms:
3 + 5 + 6y + 2y = 13y + -12

Combine like terms: 3 + 5 = 8
8 + 6y + 2y = 13y + -12

Combine like terms: 6y + 2y = 8y
8 + 8y = 13y + -12

Reorder the terms:
8 + 8y = -12 + 13y

Solving
8 + 8y = -12 + 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.
8 + 8y + -13y = -12 + 13y + -13y

Combine like terms: 8y + -13y = -5y
8 + -5y = -12 + 13y + -13y

Combine like terms: 13y + -13y = 0
8 + -5y = -12 + 0
8 + -5y = -12

Add '-8' to each side of the equation.
8 + -8 + -5y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = -12 + -8
-5y = -12 + -8

Combine like terms: -12 + -8 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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