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

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


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

Reorder the terms:
6(3 + y) + -7 = 2y + 5 + 3y
(3 * 6 + y * 6) + -7 = 2y + 5 + 3y
(18 + 6y) + -7 = 2y + 5 + 3y

Reorder the terms:
18 + -7 + 6y = 2y + 5 + 3y

Combine like terms: 18 + -7 = 11
11 + 6y = 2y + 5 + 3y

Reorder the terms:
11 + 6y = 5 + 2y + 3y

Combine like terms: 2y + 3y = 5y
11 + 6y = 5 + 5y

Solving
11 + 6y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
11 + 6y + -5y = 5 + 5y + -5y

Combine like terms: 6y + -5y = 1y
11 + 1y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + 1y = 5 + 0
11 + 1y = 5

Add '-11' to each side of the equation.
11 + -11 + 1y = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 1y = 5 + -11
1y = 5 + -11

Combine like terms: 5 + -11 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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