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

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

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

Reorder the terms:
1 + 3y = 2(2y + -3)

Reorder the terms:
1 + 3y = 2(-3 + 2y)
1 + 3y = (-3 * 2 + 2y * 2)
1 + 3y = (-6 + 4y)

Solving
1 + 3y = -6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + 3y + -4y = -6 + 4y + -4y

Combine like terms: 3y + -4y = -1y
1 + -1y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + -1y = -6 + 0
1 + -1y = -6

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

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

Combine like terms: -6 + -1 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7