3y+3(y-2)=8y-4(y-10)

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Solution for 3y+3(y-2)=8y-4(y-10) equation:


Simplifying
3y + 3(y + -2) = 8y + -4(y + -10)

Reorder the terms:
3y + 3(-2 + y) = 8y + -4(y + -10)
3y + (-2 * 3 + y * 3) = 8y + -4(y + -10)
3y + (-6 + 3y) = 8y + -4(y + -10)

Reorder the terms:
-6 + 3y + 3y = 8y + -4(y + -10)

Combine like terms: 3y + 3y = 6y
-6 + 6y = 8y + -4(y + -10)

Reorder the terms:
-6 + 6y = 8y + -4(-10 + y)
-6 + 6y = 8y + (-10 * -4 + y * -4)
-6 + 6y = 8y + (40 + -4y)

Reorder the terms:
-6 + 6y = 40 + 8y + -4y

Combine like terms: 8y + -4y = 4y
-6 + 6y = 40 + 4y

Solving
-6 + 6y = 40 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-6 + 6y + -4y = 40 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-6 + 2y = 40 + 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + 2y = 40 + 0
-6 + 2y = 40

Add '6' to each side of the equation.
-6 + 6 + 2y = 40 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = 40 + 6
2y = 40 + 6

Combine like terms: 40 + 6 = 46
2y = 46

Divide each side by '2'.
y = 23

Simplifying
y = 23

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