6-3(y-1)=10+2(5-4y)

Solution for 6-3(y-1)=10+2(5-4y) equation:

Simplifying
6 + -3(y + -1) = 10 + 2(5 + -4y)

Reorder the terms:
6 + -3(-1 + y) = 10 + 2(5 + -4y)
6 + (-1 * -3 + y * -3) = 10 + 2(5 + -4y)
6 + (3 + -3y) = 10 + 2(5 + -4y)

Combine like terms: 6 + 3 = 9
9 + -3y = 10 + 2(5 + -4y)
9 + -3y = 10 + (5 * 2 + -4y * 2)
9 + -3y = 10 + (10 + -8y)

Combine like terms: 10 + 10 = 20
9 + -3y = 20 + -8y

Solving
9 + -3y = 20 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
9 + -3y + 8y = 20 + -8y + 8y

Combine like terms: -3y + 8y = 5y
9 + 5y = 20 + -8y + 8y

Combine like terms: -8y + 8y = 0
9 + 5y = 20 + 0
9 + 5y = 20

Add '-9' to each side of the equation.
9 + -9 + 5y = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 5y = 20 + -9
5y = 20 + -9

Combine like terms: 20 + -9 = 11
5y = 11

Divide each side by '5'.
y = 2.2

Simplifying
y = 2.2