.15=y(.17)+(1-y)(.07)

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Solution for .15=y(.17)+(1-y)(.07) equation:


Simplifying
0.15 = y(0.17) + (1 + -1y)(0.07)

Reorder the terms for easier multiplication:
0.15 = 0.17y + (1 + -1y)(0.07)

Reorder the terms for easier multiplication:
0.15 = 0.17y + 0.07(1 + -1y)
0.15 = 0.17y + (1 * 0.07 + -1y * 0.07)
0.15 = 0.17y + (0.07 + -0.07y)

Reorder the terms:
0.15 = 0.07 + 0.17y + -0.07y

Combine like terms: 0.17y + -0.07y = 0.1y
0.15 = 0.07 + 0.1y

Solving
0.15 = 0.07 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
0.15 + -0.1y = 0.07 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
0.15 + -0.1y = 0.07 + 0.0
0.15 + -0.1y = 0.07

Add '-0.15' to each side of the equation.
0.15 + -0.15 + -0.1y = 0.07 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.1y = 0.07 + -0.15
-0.1y = 0.07 + -0.15

Combine like terms: 0.07 + -0.15 = -0.08
-0.1y = -0.08

Divide each side by '-0.1'.
y = 0.8

Simplifying
y = 0.8

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