3(y-2)-2(5y-1)=10

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

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

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

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

Reorder the terms:
-6 + 2 + 3y + -10y = 10

Combine like terms: -6 + 2 = -4
-4 + 3y + -10y = 10

Combine like terms: 3y + -10y = -7y
-4 + -7y = 10

Solving
-4 + -7y = 10

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + -7y = 10 + 4

Combine like terms: -4 + 4 = 0
0 + -7y = 10 + 4
-7y = 10 + 4

Combine like terms: 10 + 4 = 14
-7y = 14

Divide each side by '-7'.
y = -2

Simplifying
y = -2