(95-y)(1)+y(.05)=(.91)(95)

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Solution for (95-y)(1)+y(.05)=(.91)(95) equation:


Simplifying
(95 + -1y)(1) + y(0.05) = (0.91)(95)

Reorder the terms for easier multiplication:
1(95 + -1y) + y(0.05) = (0.91)(95)
(95 * 1 + -1y * 1) + y(0.05) = (0.91)(95)
(95 + -1y) + y(0.05) = (0.91)(95)

Reorder the terms for easier multiplication:
95 + -1y + 0.05y = (0.91)(95)

Combine like terms: -1y + 0.05y = -0.95y
95 + -0.95y = (0.91)(95)

Multiply 0.91 * 95
95 + -0.95y = 86.45

Solving
95 + -0.95y = 86.45

Solving for variable 'y'.

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

Add '-95' to each side of the equation.
95 + -95 + -0.95y = 86.45 + -95

Combine like terms: 95 + -95 = 0
0 + -0.95y = 86.45 + -95
-0.95y = 86.45 + -95

Combine like terms: 86.45 + -95 = -8.55
-0.95y = -8.55

Divide each side by '-0.95'.
y = 9

Simplifying
y = 9

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