-5(2y+6)=4(-3y-9)+2

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Solution for -5(2y+6)=4(-3y-9)+2 equation:


Simplifying
-5(2y + 6) = 4(-3y + -9) + 2

Reorder the terms:
-5(6 + 2y) = 4(-3y + -9) + 2
(6 * -5 + 2y * -5) = 4(-3y + -9) + 2
(-30 + -10y) = 4(-3y + -9) + 2

Reorder the terms:
-30 + -10y = 4(-9 + -3y) + 2
-30 + -10y = (-9 * 4 + -3y * 4) + 2
-30 + -10y = (-36 + -12y) + 2

Reorder the terms:
-30 + -10y = -36 + 2 + -12y

Combine like terms: -36 + 2 = -34
-30 + -10y = -34 + -12y

Solving
-30 + -10y = -34 + -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.
-30 + -10y + 12y = -34 + -12y + 12y

Combine like terms: -10y + 12y = 2y
-30 + 2y = -34 + -12y + 12y

Combine like terms: -12y + 12y = 0
-30 + 2y = -34 + 0
-30 + 2y = -34

Add '30' to each side of the equation.
-30 + 30 + 2y = -34 + 30

Combine like terms: -30 + 30 = 0
0 + 2y = -34 + 30
2y = -34 + 30

Combine like terms: -34 + 30 = -4
2y = -4

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

Simplifying
y = -2

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