3(5y-7)-(5y+6)=

Solution for 3(5y-7)-(5y+6)= equation:

Simplifying
3(5y + -7) + -1(5y + 6) = 0

Reorder the terms:
3(-7 + 5y) + -1(5y + 6) = 0
(-7 * 3 + 5y * 3) + -1(5y + 6) = 0
(-21 + 15y) + -1(5y + 6) = 0

Reorder the terms:
-21 + 15y + -1(6 + 5y) = 0
-21 + 15y + (6 * -1 + 5y * -1) = 0
-21 + 15y + (-6 + -5y) = 0

Reorder the terms:
-21 + -6 + 15y + -5y = 0

Combine like terms: -21 + -6 = -27
-27 + 15y + -5y = 0

Combine like terms: 15y + -5y = 10y
-27 + 10y = 0

Solving
-27 + 10y = 0

Solving for variable 'y'.

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

Add '27' to each side of the equation.
-27 + 27 + 10y = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 10y = 0 + 27
10y = 0 + 27

Combine like terms: 0 + 27 = 27
10y = 27

Divide each side by '10'.
y = 2.7

Simplifying
y = 2.7