6(1.5y)+y=8(1.5y)-2

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Solution for 6(1.5y)+y=8(1.5y)-2 equation: 


Simplifying
6(1.5y) + y = 8(1.5y) + -2

Remove parenthesis around (1.5y)
6 * 1.5y + y = 8(1.5y) + -2

Multiply 6 * 1.5
9y + y = 8(1.5y) + -2

Combine like terms: 9y + y = 10y
10y = 8(1.5y) + -2

Remove parenthesis around (1.5y)
10y = 8 * 1.5y + -2

Multiply 8 * 1.5
10y = 12y + -2

Reorder the terms:
10y = -2 + 12y

Solving
10y = -2 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
10y + -12y = -2 + 12y + -12y

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

Combine like terms: 12y + -12y = 0
-2y = -2 + 0
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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