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

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

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

Reorder the terms:
2(1 + 5y) = 3(3y + 2)
(1 * 2 + 5y * 2) = 3(3y + 2)
(2 + 10y) = 3(3y + 2)

Reorder the terms:
2 + 10y = 3(2 + 3y)
2 + 10y = (2 * 3 + 3y * 3)
2 + 10y = (6 + 9y)

Solving
2 + 10y = 6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
2 + 10y + -9y = 6 + 9y + -9y

Combine like terms: 10y + -9y = 1y
2 + 1y = 6 + 9y + -9y

Combine like terms: 9y + -9y = 0
2 + 1y = 6 + 0
2 + 1y = 6

Add '-2' to each side of the equation.
2 + -2 + 1y = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 6 + -2
1y = 6 + -2

Combine like terms: 6 + -2 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4