3y+2(y-6)=6y-3(y-10)

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Solution for 3y+2(y-6)=6y-3(y-10) equation:


Simplifying
3y + 2(y + -6) = 6y + -3(y + -10)

Reorder the terms:
3y + 2(-6 + y) = 6y + -3(y + -10)
3y + (-6 * 2 + y * 2) = 6y + -3(y + -10)
3y + (-12 + 2y) = 6y + -3(y + -10)

Reorder the terms:
-12 + 3y + 2y = 6y + -3(y + -10)

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

Reorder the terms:
-12 + 5y = 6y + -3(-10 + y)
-12 + 5y = 6y + (-10 * -3 + y * -3)
-12 + 5y = 6y + (30 + -3y)

Reorder the terms:
-12 + 5y = 30 + 6y + -3y

Combine like terms: 6y + -3y = 3y
-12 + 5y = 30 + 3y

Solving
-12 + 5y = 30 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-12 + 5y + -3y = 30 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-12 + 2y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + 2y = 30 + 0
-12 + 2y = 30

Add '12' to each side of the equation.
-12 + 12 + 2y = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = 30 + 12
2y = 30 + 12

Combine like terms: 30 + 12 = 42
2y = 42

Divide each side by '2'.
y = 21

Simplifying
y = 21

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