8y-3=5(2y+1)

Solution for 8y-3=5(2y+1) equation:

Simplifying
8y + -3 = 5(2y + 1)

Reorder the terms:
-3 + 8y = 5(2y + 1)

Reorder the terms:
-3 + 8y = 5(1 + 2y)
-3 + 8y = (1 * 5 + 2y * 5)
-3 + 8y = (5 + 10y)

Solving
-3 + 8y = 5 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-3 + 8y + -10y = 5 + 10y + -10y

Combine like terms: 8y + -10y = -2y
-3 + -2y = 5 + 10y + -10y

Combine like terms: 10y + -10y = 0
-3 + -2y = 5 + 0
-3 + -2y = 5

Add '3' to each side of the equation.
-3 + 3 + -2y = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 5 + 3
-2y = 5 + 3

Combine like terms: 5 + 3 = 8
-2y = 8

Divide each side by '-2'.
y = -4

Simplifying
y = -4