4y+3(y-4)=8y-3(y-10)

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Solution for 4y+3(y-4)=8y-3(y-10) equation: 


Simplifying
4y + 3(y + -4) = 8y + -3(y + -10)

Reorder the terms:
4y + 3(-4 + y) = 8y + -3(y + -10)
4y + (-4 * 3 + y * 3) = 8y + -3(y + -10)
4y + (-12 + 3y) = 8y + -3(y + -10)

Reorder the terms:
-12 + 4y + 3y = 8y + -3(y + -10)

Combine like terms: 4y + 3y = 7y
-12 + 7y = 8y + -3(y + -10)

Reorder the terms:
-12 + 7y = 8y + -3(-10 + y)
-12 + 7y = 8y + (-10 * -3 + y * -3)
-12 + 7y = 8y + (30 + -3y)

Reorder the terms:
-12 + 7y = 30 + 8y + -3y

Combine like terms: 8y + -3y = 5y
-12 + 7y = 30 + 5y

Solving
-12 + 7y = 30 + 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.
-12 + 7y + -5y = 30 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-12 + 2y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 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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