3(6+7y)+2(1-5y)=53

Solution for 3(6+7y)+2(1-5y)=53 equation:

Simplifying
3(6 + 7y) + 2(1 + -5y) = 53
(6 * 3 + 7y * 3) + 2(1 + -5y) = 53
(18 + 21y) + 2(1 + -5y) = 53
18 + 21y + (1 * 2 + -5y * 2) = 53
18 + 21y + (2 + -10y) = 53

Reorder the terms:
18 + 2 + 21y + -10y = 53

Combine like terms: 18 + 2 = 20
20 + 21y + -10y = 53

Combine like terms: 21y + -10y = 11y
20 + 11y = 53

Solving
20 + 11y = 53

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 11y = 53 + -20

Combine like terms: 20 + -20 = 0
0 + 11y = 53 + -20
11y = 53 + -20

Combine like terms: 53 + -20 = 33
11y = 33

Divide each side by '11'.
y = 3

Simplifying
y = 3