7(y-6)+3y=10(y+1)

Solution for 7(y-6)+3y=10(y+1) equation:

Simplifying
7(y + -6) + 3y = 10(y + 1)

Reorder the terms:
7(-6 + y) + 3y = 10(y + 1)
(-6 * 7 + y * 7) + 3y = 10(y + 1)
(-42 + 7y) + 3y = 10(y + 1)

Combine like terms: 7y + 3y = 10y
-42 + 10y = 10(y + 1)

Reorder the terms:
-42 + 10y = 10(1 + y)
-42 + 10y = (1 * 10 + y * 10)
-42 + 10y = (10 + 10y)

Add '-10y' to each side of the equation.
-42 + 10y + -10y = 10 + 10y + -10y

Combine like terms: 10y + -10y = 0
-42 + 0 = 10 + 10y + -10y
-42 = 10 + 10y + -10y

Combine like terms: 10y + -10y = 0
-42 = 10 + 0
-42 = 10

Solving
-42 = 10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.