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

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


Simplifying
2 + -6(2 + -1y) = 5(y + 3)
2 + (2 * -6 + -1y * -6) = 5(y + 3)
2 + (-12 + 6y) = 5(y + 3)

Combine like terms: 2 + -12 = -10
-10 + 6y = 5(y + 3)

Reorder the terms:
-10 + 6y = 5(3 + y)
-10 + 6y = (3 * 5 + y * 5)
-10 + 6y = (15 + 5y)

Solving
-10 + 6y = 15 + 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 + 6y + -5y = 15 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-10 + 1y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 1y = 15 + 0
-10 + 1y = 15

Add '10' to each side of the equation.
-10 + 10 + 1y = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = 15 + 10
1y = 15 + 10

Combine like terms: 15 + 10 = 25
1y = 25

Divide each side by '1'.
y = 25

Simplifying
y = 25

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