6.5(y-5)=5.9-y

Solution for 6.5(y-5)=5.9-y equation:

Simplifying
6.5(y + -5) = 5.9 + -1y

Reorder the terms:
6.5(-5 + y) = 5.9 + -1y
(-5 * 6.5 + y * 6.5) = 5.9 + -1y
(-32.5 + 6.5y) = 5.9 + -1y

Solving
-32.5 + 6.5y = 5.9 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-32.5 + 6.5y + y = 5.9 + -1y + y

Combine like terms: 6.5y + y = 7.5y
-32.5 + 7.5y = 5.9 + -1y + y

Combine like terms: -1y + y = 0
-32.5 + 7.5y = 5.9 + 0
-32.5 + 7.5y = 5.9

Add '32.5' to each side of the equation.
-32.5 + 32.5 + 7.5y = 5.9 + 32.5

Combine like terms: -32.5 + 32.5 = 0.0
0.0 + 7.5y = 5.9 + 32.5
7.5y = 5.9 + 32.5

Combine like terms: 5.9 + 32.5 = 38.4
7.5y = 38.4

Divide each side by '7.5'.
y = 5.12

Simplifying
y = 5.12