3y+3+4y-6=5(y-1)+8

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Solution for 3y+3+4y-6=5(y-1)+8 equation:


Simplifying
3y + 3 + 4y + -6 = 5(y + -1) + 8

Reorder the terms:
3 + -6 + 3y + 4y = 5(y + -1) + 8

Combine like terms: 3 + -6 = -3
-3 + 3y + 4y = 5(y + -1) + 8

Combine like terms: 3y + 4y = 7y
-3 + 7y = 5(y + -1) + 8

Reorder the terms:
-3 + 7y = 5(-1 + y) + 8
-3 + 7y = (-1 * 5 + y * 5) + 8
-3 + 7y = (-5 + 5y) + 8

Reorder the terms:
-3 + 7y = -5 + 8 + 5y

Combine like terms: -5 + 8 = 3
-3 + 7y = 3 + 5y

Solving
-3 + 7y = 3 + 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.
-3 + 7y + -5y = 3 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-3 + 2y = 3 + 0
-3 + 2y = 3

Add '3' to each side of the equation.
-3 + 3 + 2y = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 3 + 3
2y = 3 + 3

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

Divide each side by '2'.
y = 3

Simplifying
y = 3

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