3y-15+7y=6+5y-8

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Solution for 3y-15+7y=6+5y-8 equation:


Simplifying
3y + -15 + 7y = 6 + 5y + -8

Reorder the terms:
-15 + 3y + 7y = 6 + 5y + -8

Combine like terms: 3y + 7y = 10y
-15 + 10y = 6 + 5y + -8

Reorder the terms:
-15 + 10y = 6 + -8 + 5y

Combine like terms: 6 + -8 = -2
-15 + 10y = -2 + 5y

Solving
-15 + 10y = -2 + 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.
-15 + 10y + -5y = -2 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-15 + 5y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + 5y = -2 + 0
-15 + 5y = -2

Add '15' to each side of the equation.
-15 + 15 + 5y = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = -2 + 15
5y = -2 + 15

Combine like terms: -2 + 15 = 13
5y = 13

Divide each side by '5'.
y = 2.6

Simplifying
y = 2.6

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