9y+1-2(-2y-6)=3(y-1)

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Solution for 9y+1-2(-2y-6)=3(y-1) equation:


Simplifying
9y + 1 + -2(-2y + -6) = 3(y + -1)

Reorder the terms:
9y + 1 + -2(-6 + -2y) = 3(y + -1)
9y + 1 + (-6 * -2 + -2y * -2) = 3(y + -1)
9y + 1 + (12 + 4y) = 3(y + -1)

Reorder the terms:
1 + 12 + 9y + 4y = 3(y + -1)

Combine like terms: 1 + 12 = 13
13 + 9y + 4y = 3(y + -1)

Combine like terms: 9y + 4y = 13y
13 + 13y = 3(y + -1)

Reorder the terms:
13 + 13y = 3(-1 + y)
13 + 13y = (-1 * 3 + y * 3)
13 + 13y = (-3 + 3y)

Solving
13 + 13y = -3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
13 + 13y + -3y = -3 + 3y + -3y

Combine like terms: 13y + -3y = 10y
13 + 10y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
13 + 10y = -3 + 0
13 + 10y = -3

Add '-13' to each side of the equation.
13 + -13 + 10y = -3 + -13

Combine like terms: 13 + -13 = 0
0 + 10y = -3 + -13
10y = -3 + -13

Combine like terms: -3 + -13 = -16
10y = -16

Divide each side by '10'.
y = -1.6

Simplifying
y = -1.6

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