-3(9y+2)=2(-4y-7)

Solution for -3(9y+2)=2(-4y-7) equation:

Simplifying
-3(9y + 2) = 2(-4y + -7)

Reorder the terms:
-3(2 + 9y) = 2(-4y + -7)
(2 * -3 + 9y * -3) = 2(-4y + -7)
(-6 + -27y) = 2(-4y + -7)

Reorder the terms:
-6 + -27y = 2(-7 + -4y)
-6 + -27y = (-7 * 2 + -4y * 2)
-6 + -27y = (-14 + -8y)

Solving
-6 + -27y = -14 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-6 + -27y + 8y = -14 + -8y + 8y

Combine like terms: -27y + 8y = -19y
-6 + -19y = -14 + -8y + 8y

Combine like terms: -8y + 8y = 0
-6 + -19y = -14 + 0
-6 + -19y = -14

Add '6' to each side of the equation.
-6 + 6 + -19y = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -19y = -14 + 6
-19y = -14 + 6

Combine like terms: -14 + 6 = -8
-19y = -8

Divide each side by '-19'.
y = 0.4210526316

Simplifying
y = 0.4210526316