0.78(y+1)=0.89y

Solution for 0.78(y+1)=0.89y equation:

Simplifying
0.78(y + 1) = 0.89y

Reorder the terms:
0.78(1 + y) = 0.89y
(1 * 0.78 + y * 0.78) = 0.89y
(0.78 + 0.78y) = 0.89y

Solving
0.78 + 0.78y = 0.89y

Solving for variable 'y'.

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

Add '-0.89y' to each side of the equation.
0.78 + 0.78y + -0.89y = 0.89y + -0.89y

Combine like terms: 0.78y + -0.89y = -0.11y
0.78 + -0.11y = 0.89y + -0.89y

Combine like terms: 0.89y + -0.89y = 0.00
0.78 + -0.11y = 0.00

Add '-0.78' to each side of the equation.
0.78 + -0.78 + -0.11y = 0.00 + -0.78

Combine like terms: 0.78 + -0.78 = 0.00
0.00 + -0.11y = 0.00 + -0.78
-0.11y = 0.00 + -0.78

Combine like terms: 0.00 + -0.78 = -0.78
-0.11y = -0.78

Divide each side by '-0.11'.
y = 7.090909091

Simplifying
y = 7.090909091