6y+3+(5y+7)=13y-2

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Solution for 6y+3+(5y+7)=13y-2 equation:


Simplifying
6y + 3 + (5y + 7) = 13y + -2

Reorder the terms:
6y + 3 + (7 + 5y) = 13y + -2

Remove parenthesis around (7 + 5y)
6y + 3 + 7 + 5y = 13y + -2

Reorder the terms:
3 + 7 + 6y + 5y = 13y + -2

Combine like terms: 3 + 7 = 10
10 + 6y + 5y = 13y + -2

Combine like terms: 6y + 5y = 11y
10 + 11y = 13y + -2

Reorder the terms:
10 + 11y = -2 + 13y

Solving
10 + 11y = -2 + 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 + 11y + -13y = -2 + 13y + -13y

Combine like terms: 11y + -13y = -2y
10 + -2y = -2 + 13y + -13y

Combine like terms: 13y + -13y = 0
10 + -2y = -2 + 0
10 + -2y = -2

Add '-10' to each side of the equation.
10 + -10 + -2y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -2y = -2 + -10
-2y = -2 + -10

Combine like terms: -2 + -10 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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