-5(y+3)+4(3y-5)=6(y-6)+11

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Solution for -5(y+3)+4(3y-5)=6(y-6)+11 equation:


Simplifying
-5(y + 3) + 4(3y + -5) = 6(y + -6) + 11

Reorder the terms:
-5(3 + y) + 4(3y + -5) = 6(y + -6) + 11
(3 * -5 + y * -5) + 4(3y + -5) = 6(y + -6) + 11
(-15 + -5y) + 4(3y + -5) = 6(y + -6) + 11

Reorder the terms:
-15 + -5y + 4(-5 + 3y) = 6(y + -6) + 11
-15 + -5y + (-5 * 4 + 3y * 4) = 6(y + -6) + 11
-15 + -5y + (-20 + 12y) = 6(y + -6) + 11

Reorder the terms:
-15 + -20 + -5y + 12y = 6(y + -6) + 11

Combine like terms: -15 + -20 = -35
-35 + -5y + 12y = 6(y + -6) + 11

Combine like terms: -5y + 12y = 7y
-35 + 7y = 6(y + -6) + 11

Reorder the terms:
-35 + 7y = 6(-6 + y) + 11
-35 + 7y = (-6 * 6 + y * 6) + 11
-35 + 7y = (-36 + 6y) + 11

Reorder the terms:
-35 + 7y = -36 + 11 + 6y

Combine like terms: -36 + 11 = -25
-35 + 7y = -25 + 6y

Solving
-35 + 7y = -25 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
-35 + 7y + -6y = -25 + 6y + -6y

Combine like terms: 7y + -6y = 1y
-35 + 1y = -25 + 6y + -6y

Combine like terms: 6y + -6y = 0
-35 + 1y = -25 + 0
-35 + 1y = -25

Add '35' to each side of the equation.
-35 + 35 + 1y = -25 + 35

Combine like terms: -35 + 35 = 0
0 + 1y = -25 + 35
1y = -25 + 35

Combine like terms: -25 + 35 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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