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

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


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

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

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

Combine like terms: -12 + -2 = -14
-14 + -9y = -6(y + 4) + 3y

Reorder the terms:
-14 + -9y = -6(4 + y) + 3y
-14 + -9y = (4 * -6 + y * -6) + 3y
-14 + -9y = (-24 + -6y) + 3y

Combine like terms: -6y + 3y = -3y
-14 + -9y = -24 + -3y

Solving
-14 + -9y = -24 + -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.
-14 + -9y + 3y = -24 + -3y + 3y

Combine like terms: -9y + 3y = -6y
-14 + -6y = -24 + -3y + 3y

Combine like terms: -3y + 3y = 0
-14 + -6y = -24 + 0
-14 + -6y = -24

Add '14' to each side of the equation.
-14 + 14 + -6y = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -6y = -24 + 14
-6y = -24 + 14

Combine like terms: -24 + 14 = -10
-6y = -10

Divide each side by '-6'.
y = 1.666666667

Simplifying
y = 1.666666667

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