6y+2(y-5)=5(y+1)-2

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Solution for 6y+2(y-5)=5(y+1)-2 equation: 


Simplifying
6y + 2(y + -5) = 5(y + 1) + -2

Reorder the terms:
6y + 2(-5 + y) = 5(y + 1) + -2
6y + (-5 * 2 + y * 2) = 5(y + 1) + -2
6y + (-10 + 2y) = 5(y + 1) + -2

Reorder the terms:
-10 + 6y + 2y = 5(y + 1) + -2

Combine like terms: 6y + 2y = 8y
-10 + 8y = 5(y + 1) + -2

Reorder the terms:
-10 + 8y = 5(1 + y) + -2
-10 + 8y = (1 * 5 + y * 5) + -2
-10 + 8y = (5 + 5y) + -2

Reorder the terms:
-10 + 8y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-10 + 8y = 3 + 5y

Solving
-10 + 8y = 3 + 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.
-10 + 8y + -5y = 3 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-10 + 3y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 3y = 3 + 0
-10 + 3y = 3

Add '10' to each side of the equation.
-10 + 10 + 3y = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 3y = 3 + 10
3y = 3 + 10

Combine like terms: 3 + 10 = 13
3y = 13

Divide each side by '3'.
y = 4.333333333

Simplifying
y = 4.333333333

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