6y+3+2y+7=13y-20

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Solution for 6y+3+2y+7=13y-20 equation:


Simplifying
6y + 3 + 2y + 7 = 13y + -20

Reorder the terms:
3 + 7 + 6y + 2y = 13y + -20

Combine like terms: 3 + 7 = 10
10 + 6y + 2y = 13y + -20

Combine like terms: 6y + 2y = 8y
10 + 8y = 13y + -20

Reorder the terms:
10 + 8y = -20 + 13y

Solving
10 + 8y = -20 + 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.
10 + 8y + -13y = -20 + 13y + -13y

Combine like terms: 8y + -13y = -5y
10 + -5y = -20 + 13y + -13y

Combine like terms: 13y + -13y = 0
10 + -5y = -20 + 0
10 + -5y = -20

Add '-10' to each side of the equation.
10 + -10 + -5y = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = -20 + -10
-5y = -20 + -10

Combine like terms: -20 + -10 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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