-3(3y+3)-7=-6(y+5)+3y

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Solution for -3(3y+3)-7=-6(y+5)+3y equation:


Simplifying
-3(3y + 3) + -7 = -6(y + 5) + 3y

Reorder the terms:
-3(3 + 3y) + -7 = -6(y + 5) + 3y
(3 * -3 + 3y * -3) + -7 = -6(y + 5) + 3y
(-9 + -9y) + -7 = -6(y + 5) + 3y

Reorder the terms:
-9 + -7 + -9y = -6(y + 5) + 3y

Combine like terms: -9 + -7 = -16
-16 + -9y = -6(y + 5) + 3y

Reorder the terms:
-16 + -9y = -6(5 + y) + 3y
-16 + -9y = (5 * -6 + y * -6) + 3y
-16 + -9y = (-30 + -6y) + 3y

Combine like terms: -6y + 3y = -3y
-16 + -9y = -30 + -3y

Solving
-16 + -9y = -30 + -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.
-16 + -9y + 3y = -30 + -3y + 3y

Combine like terms: -9y + 3y = -6y
-16 + -6y = -30 + -3y + 3y

Combine like terms: -3y + 3y = 0
-16 + -6y = -30 + 0
-16 + -6y = -30

Add '16' to each side of the equation.
-16 + 16 + -6y = -30 + 16

Combine like terms: -16 + 16 = 0
0 + -6y = -30 + 16
-6y = -30 + 16

Combine like terms: -30 + 16 = -14
-6y = -14

Divide each side by '-6'.
y = 2.333333333

Simplifying
y = 2.333333333

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