6y+13=8y-7

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Solution for 6y+13=8y-7 equation:


Simplifying
6y + 13 = 8y + -7

Reorder the terms:
13 + 6y = 8y + -7

Reorder the terms:
13 + 6y = -7 + 8y

Solving
13 + 6y = -7 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
13 + 6y + -8y = -7 + 8y + -8y

Combine like terms: 6y + -8y = -2y
13 + -2y = -7 + 8y + -8y

Combine like terms: 8y + -8y = 0
13 + -2y = -7 + 0
13 + -2y = -7

Add '-13' to each side of the equation.
13 + -13 + -2y = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -2y = -7 + -13
-2y = -7 + -13

Combine like terms: -7 + -13 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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