-5(3y+5)-3=-6(y+8)+3y

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Solution for -5(3y+5)-3=-6(y+8)+3y equation: 


Simplifying
-5(3y + 5) + -3 = -6(y + 8) + 3y

Reorder the terms:
-5(5 + 3y) + -3 = -6(y + 8) + 3y
(5 * -5 + 3y * -5) + -3 = -6(y + 8) + 3y
(-25 + -15y) + -3 = -6(y + 8) + 3y

Reorder the terms:
-25 + -3 + -15y = -6(y + 8) + 3y

Combine like terms: -25 + -3 = -28
-28 + -15y = -6(y + 8) + 3y

Reorder the terms:
-28 + -15y = -6(8 + y) + 3y
-28 + -15y = (8 * -6 + y * -6) + 3y
-28 + -15y = (-48 + -6y) + 3y

Combine like terms: -6y + 3y = -3y
-28 + -15y = -48 + -3y

Solving
-28 + -15y = -48 + -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.
-28 + -15y + 3y = -48 + -3y + 3y

Combine like terms: -15y + 3y = -12y
-28 + -12y = -48 + -3y + 3y

Combine like terms: -3y + 3y = 0
-28 + -12y = -48 + 0
-28 + -12y = -48

Add '28' to each side of the equation.
-28 + 28 + -12y = -48 + 28

Combine like terms: -28 + 28 = 0
0 + -12y = -48 + 28
-12y = -48 + 28

Combine like terms: -48 + 28 = -20
-12y = -20

Divide each side by '-12'.
y = 1.666666667

Simplifying
y = 1.666666667

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