3(2*y+1)=5(y*1)

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

Simplifying
3(2y + 1) = 5(y * 1)

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

Reorder the terms for easier multiplication:
3 + 6y = 5(1y)

Remove parenthesis around (1y)
3 + 6y = 5 * 1y

Multiply 5 * 1
3 + 6y = 5y

Solving
3 + 6y = 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.
3 + 6y + -5y = 5y + -5y

Combine like terms: 6y + -5y = 1y
3 + 1y = 5y + -5y

Combine like terms: 5y + -5y = 0
3 + 1y = 0

Add '-3' to each side of the equation.
3 + -3 + 1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 0 + -3
1y = 0 + -3

Combine like terms: 0 + -3 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3