4(y-6)+2(y+11)=30-8

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Solution for 4(y-6)+2(y+11)=30-8 equation: 


Simplifying
4(y + -6) + 2(y + 11) = 30 + -8

Reorder the terms:
4(-6 + y) + 2(y + 11) = 30 + -8
(-6 * 4 + y * 4) + 2(y + 11) = 30 + -8
(-24 + 4y) + 2(y + 11) = 30 + -8

Reorder the terms:
-24 + 4y + 2(11 + y) = 30 + -8
-24 + 4y + (11 * 2 + y * 2) = 30 + -8
-24 + 4y + (22 + 2y) = 30 + -8

Reorder the terms:
-24 + 22 + 4y + 2y = 30 + -8

Combine like terms: -24 + 22 = -2
-2 + 4y + 2y = 30 + -8

Combine like terms: 4y + 2y = 6y
-2 + 6y = 30 + -8

Combine like terms: 30 + -8 = 22
-2 + 6y = 22

Solving
-2 + 6y = 22

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 6y = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = 22 + 2
6y = 22 + 2

Combine like terms: 22 + 2 = 24
6y = 24

Divide each side by '6'.
y = 4

Simplifying
y = 4

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