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

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

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

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

Combine like terms: 10 + -4 = 6
6 + 4y = 3(y + 5)

Reorder the terms:
6 + 4y = 3(5 + y)
6 + 4y = (5 * 3 + y * 3)
6 + 4y = (15 + 3y)

Solving
6 + 4y = 15 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + 4y + -3y = 15 + 3y + -3y

Combine like terms: 4y + -3y = 1y
6 + 1y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 1y = 15 + 0
6 + 1y = 15

Add '-6' to each side of the equation.
6 + -6 + 1y = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 15 + -6
1y = 15 + -6

Combine like terms: 15 + -6 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9