4y+2(y-8)=7y-3(y-10)

Solution for 4y+2(y-8)=7y-3(y-10) equation:

Simplifying
4y + 2(y + -8) = 7y + -3(y + -10)

Reorder the terms:
4y + 2(-8 + y) = 7y + -3(y + -10)
4y + (-8 * 2 + y * 2) = 7y + -3(y + -10)
4y + (-16 + 2y) = 7y + -3(y + -10)

Reorder the terms:
-16 + 4y + 2y = 7y + -3(y + -10)

Combine like terms: 4y + 2y = 6y
-16 + 6y = 7y + -3(y + -10)

Reorder the terms:
-16 + 6y = 7y + -3(-10 + y)
-16 + 6y = 7y + (-10 * -3 + y * -3)
-16 + 6y = 7y + (30 + -3y)

Reorder the terms:
-16 + 6y = 30 + 7y + -3y

Combine like terms: 7y + -3y = 4y
-16 + 6y = 30 + 4y

Solving
-16 + 6y = 30 + 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.
-16 + 6y + -4y = 30 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-16 + 2y = 30 + 4y + -4y

Combine like terms: 4y + -4y = 0
-16 + 2y = 30 + 0
-16 + 2y = 30

Add '16' to each side of the equation.
-16 + 16 + 2y = 30 + 16

Combine like terms: -16 + 16 = 0
0 + 2y = 30 + 16
2y = 30 + 16

Combine like terms: 30 + 16 = 46
2y = 46

Divide each side by '2'.
y = 23

Simplifying
y = 23