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

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

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

Reorder the terms:
3 + -3y + 4(-5 + y) = 10
3 + -3y + (-5 * 4 + y * 4) = 10
3 + -3y + (-20 + 4y) = 10

Reorder the terms:
3 + -20 + -3y + 4y = 10

Combine like terms: 3 + -20 = -17
-17 + -3y + 4y = 10

Combine like terms: -3y + 4y = 1y
-17 + 1y = 10

Solving
-17 + 1y = 10

Solving for variable 'y'.

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

Add '17' to each side of the equation.
-17 + 17 + 1y = 10 + 17

Combine like terms: -17 + 17 = 0
0 + 1y = 10 + 17
1y = 10 + 17

Combine like terms: 10 + 17 = 27
1y = 27

Divide each side by '1'.
y = 27

Simplifying
y = 27