6(y-3)=5(y+2)-8

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Solution for 6(y-3)=5(y+2)-8 equation: 


Simplifying
6(y + -3) = 5(y + 2) + -8

Reorder the terms:
6(-3 + y) = 5(y + 2) + -8
(-3 * 6 + y * 6) = 5(y + 2) + -8
(-18 + 6y) = 5(y + 2) + -8

Reorder the terms:
-18 + 6y = 5(2 + y) + -8
-18 + 6y = (2 * 5 + y * 5) + -8
-18 + 6y = (10 + 5y) + -8

Reorder the terms:
-18 + 6y = 10 + -8 + 5y

Combine like terms: 10 + -8 = 2
-18 + 6y = 2 + 5y

Solving
-18 + 6y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-18 + 6y + -5y = 2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-18 + 1y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 1y = 2 + 0
-18 + 1y = 2

Add '18' to each side of the equation.
-18 + 18 + 1y = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 1y = 2 + 18
1y = 2 + 18

Combine like terms: 2 + 18 = 20
1y = 20

Divide each side by '1'.
y = 20

Simplifying
y = 20

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