5y-3(y-1)=4y+1

Solution for 5y-3(y-1)=4y+1 equation:

Simplifying
5y + -3(y + -1) = 4y + 1

Reorder the terms:
5y + -3(-1 + y) = 4y + 1
5y + (-1 * -3 + y * -3) = 4y + 1
5y + (3 + -3y) = 4y + 1

Reorder the terms:
3 + 5y + -3y = 4y + 1

Combine like terms: 5y + -3y = 2y
3 + 2y = 4y + 1

Reorder the terms:
3 + 2y = 1 + 4y

Solving
3 + 2y = 1 + 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.
3 + 2y + -4y = 1 + 4y + -4y

Combine like terms: 2y + -4y = -2y
3 + -2y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
3 + -2y = 1 + 0
3 + -2y = 1

Add '-3' to each side of the equation.
3 + -3 + -2y = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 1 + -3
-2y = 1 + -3

Combine like terms: 1 + -3 = -2
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1