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

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

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

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

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

Combine like terms: 4y + 3y = 7y
-6 + 7y = 8y + -3(y + -10)

Reorder the terms:
-6 + 7y = 8y + -3(-10 + y)
-6 + 7y = 8y + (-10 * -3 + y * -3)
-6 + 7y = 8y + (30 + -3y)

Reorder the terms:
-6 + 7y = 30 + 8y + -3y

Combine like terms: 8y + -3y = 5y
-6 + 7y = 30 + 5y

Solving
-6 + 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.
-6 + 7y + -5y = 30 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-6 + 2y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 2y = 30 + 0
-6 + 2y = 30

Add '6' to each side of the equation.
-6 + 6 + 2y = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = 30 + 6
2y = 30 + 6

Combine like terms: 30 + 6 = 36
2y = 36

Divide each side by '2'.
y = 18

Simplifying
y = 18