-3(3y+5)-11=-6(y-5)+3y

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Solution for -3(3y+5)-11=-6(y-5)+3y equation:


Simplifying
-3(3y + 5) + -11 = -6(y + -5) + 3y

Reorder the terms:
-3(5 + 3y) + -11 = -6(y + -5) + 3y
(5 * -3 + 3y * -3) + -11 = -6(y + -5) + 3y
(-15 + -9y) + -11 = -6(y + -5) + 3y

Reorder the terms:
-15 + -11 + -9y = -6(y + -5) + 3y

Combine like terms: -15 + -11 = -26
-26 + -9y = -6(y + -5) + 3y

Reorder the terms:
-26 + -9y = -6(-5 + y) + 3y
-26 + -9y = (-5 * -6 + y * -6) + 3y
-26 + -9y = (30 + -6y) + 3y

Combine like terms: -6y + 3y = -3y
-26 + -9y = 30 + -3y

Solving
-26 + -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.
-26 + -9y + 3y = 30 + -3y + 3y

Combine like terms: -9y + 3y = -6y
-26 + -6y = 30 + -3y + 3y

Combine like terms: -3y + 3y = 0
-26 + -6y = 30 + 0
-26 + -6y = 30

Add '26' to each side of the equation.
-26 + 26 + -6y = 30 + 26

Combine like terms: -26 + 26 = 0
0 + -6y = 30 + 26
-6y = 30 + 26

Combine like terms: 30 + 26 = 56
-6y = 56

Divide each side by '-6'.
y = -9.333333333

Simplifying
y = -9.333333333

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