5y-3(y-1)=47+1

Solution for 5y-3(y-1)=47+1 equation:

Simplifying
5y + -3(y + -1) = 47 + 1

Reorder the terms:
5y + -3(-1 + y) = 47 + 1
5y + (-1 * -3 + y * -3) = 47 + 1
5y + (3 + -3y) = 47 + 1

Reorder the terms:
3 + 5y + -3y = 47 + 1

Combine like terms: 5y + -3y = 2y
3 + 2y = 47 + 1

Combine like terms: 47 + 1 = 48
3 + 2y = 48

Solving
3 + 2y = 48

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 48 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 48 + -3
2y = 48 + -3

Combine like terms: 48 + -3 = 45
2y = 45

Divide each side by '2'.
y = 22.5

Simplifying
y = 22.5