-3(3y+5)-17=-6(y+6)+3y

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Solution for -3(3y+5)-17=-6(y+6)+3y equation:


Simplifying
-3(3y + 5) + -17 = -6(y + 6) + 3y

Reorder the terms:
-3(5 + 3y) + -17 = -6(y + 6) + 3y
(5 * -3 + 3y * -3) + -17 = -6(y + 6) + 3y
(-15 + -9y) + -17 = -6(y + 6) + 3y

Reorder the terms:
-15 + -17 + -9y = -6(y + 6) + 3y

Combine like terms: -15 + -17 = -32
-32 + -9y = -6(y + 6) + 3y

Reorder the terms:
-32 + -9y = -6(6 + y) + 3y
-32 + -9y = (6 * -6 + y * -6) + 3y
-32 + -9y = (-36 + -6y) + 3y

Combine like terms: -6y + 3y = -3y
-32 + -9y = -36 + -3y

Solving
-32 + -9y = -36 + -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.
-32 + -9y + 3y = -36 + -3y + 3y

Combine like terms: -9y + 3y = -6y
-32 + -6y = -36 + -3y + 3y

Combine like terms: -3y + 3y = 0
-32 + -6y = -36 + 0
-32 + -6y = -36

Add '32' to each side of the equation.
-32 + 32 + -6y = -36 + 32

Combine like terms: -32 + 32 = 0
0 + -6y = -36 + 32
-6y = -36 + 32

Combine like terms: -36 + 32 = -4
-6y = -4

Divide each side by '-6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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