5y(2(3)-1)=y(3+2)+20

Solution for 5y(2(3)-1)=y(3+2)+20 equation:

Simplifying
5y(2(3) + -1) = y(3 + 2) + 20

Multiply 2 * 3
5y(6 + -1) = y(3 + 2) + 20

Combine like terms: 6 + -1 = 5
5y(5) = y(3 + 2) + 20

Reorder the terms for easier multiplication:
5 * 5y = y(3 + 2) + 20

Multiply 5 * 5
25y = y(3 + 2) + 20

Combine like terms: 3 + 2 = 5
25y = y(5) + 20

Reorder the terms for easier multiplication:
25y = 5y + 20

Reorder the terms:
25y = 20 + 5y

Solving
25y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
25y + -5y = 20 + 5y + -5y

Combine like terms: 25y + -5y = 20y
20y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
20y = 20 + 0
20y = 20

Divide each side by '20'.
y = 1

Simplifying
y = 1