6.5(y-7)=1.6-y

Solution for 6.5(y-7)=1.6-y equation:

Simplifying
6.5(y + -7) = 1.6 + -1y

Reorder the terms:
6.5(-7 + y) = 1.6 + -1y
(-7 * 6.5 + y * 6.5) = 1.6 + -1y
(-45.5 + 6.5y) = 1.6 + -1y

Solving
-45.5 + 6.5y = 1.6 + -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.
-45.5 + 6.5y + y = 1.6 + -1y + y

Combine like terms: 6.5y + y = 7.5y
-45.5 + 7.5y = 1.6 + -1y + y

Combine like terms: -1y + y = 0
-45.5 + 7.5y = 1.6 + 0
-45.5 + 7.5y = 1.6

Add '45.5' to each side of the equation.
-45.5 + 45.5 + 7.5y = 1.6 + 45.5

Combine like terms: -45.5 + 45.5 = 0.0
0.0 + 7.5y = 1.6 + 45.5
7.5y = 1.6 + 45.5

Combine like terms: 1.6 + 45.5 = 47.1
7.5y = 47.1

Divide each side by '7.5'.
y = 6.28

Simplifying
y = 6.28