0.16(y-1)+0.10y=0.02y-.05(20)

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Solution for 0.16(y-1)+0.10y=0.02y-.05(20) equation:


Simplifying
0.16(y + -1) + 0.10y = 0.02y + -0.05(20)

Reorder the terms:
0.16(-1 + y) + 0.10y = 0.02y + -0.05(20)
(-1 * 0.16 + y * 0.16) + 0.10y = 0.02y + -0.05(20)
(-0.16 + 0.16y) + 0.10y = 0.02y + -0.05(20)

Combine like terms: 0.16y + 0.10y = 0.26y
-0.16 + 0.26y = 0.02y + -0.05(20)

Multiply -0.05 * 20
-0.16 + 0.26y = 0.02y + -1

Reorder the terms:
-0.16 + 0.26y = -1 + 0.02y

Solving
-0.16 + 0.26y = -1 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.16 + 0.26y + -0.02y = -1 + 0.02y + -0.02y

Combine like terms: 0.26y + -0.02y = 0.24y
-0.16 + 0.24y = -1 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.16 + 0.24y = -1 + 0.00
-0.16 + 0.24y = -1

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.24y = -1 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.24y = -1 + 0.16
0.24y = -1 + 0.16

Combine like terms: -1 + 0.16 = -0.84
0.24y = -0.84

Divide each side by '0.24'.
y = -3.5

Simplifying
y = -3.5

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