3(r+1)=5(y-7)

Solution for 3(r+1)=5(y-7) equation:

Simplifying
3(r + 1) = 5(y + -7)

Reorder the terms:
3(1 + r) = 5(y + -7)
(1 * 3 + r * 3) = 5(y + -7)
(3 + 3r) = 5(y + -7)

Reorder the terms:
3 + 3r = 5(-7 + y)
3 + 3r = (-7 * 5 + y * 5)
3 + 3r = (-35 + 5y)

Solving
3 + 3r = -35 + 5y

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + 3r = -35 + -3 + 5y

Combine like terms: 3 + -3 = 0
0 + 3r = -35 + -3 + 5y
3r = -35 + -3 + 5y

Combine like terms: -35 + -3 = -38
3r = -38 + 5y

Divide each side by '3'.
r = -12.66666667 + 1.666666667y

Simplifying
r = -12.66666667 + 1.666666667y