.16(y-1)+.14=.18y-0.01(70)

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Solution for .16(y-1)+.14=.18y-0.01(70) equation:


Simplifying
0.16(y + -1) + 0.14 = 0.18y + -0.01(70)

Reorder the terms:
0.16(-1 + y) + 0.14 = 0.18y + -0.01(70)
(-1 * 0.16 + y * 0.16) + 0.14 = 0.18y + -0.01(70)
(-0.16 + 0.16y) + 0.14 = 0.18y + -0.01(70)

Reorder the terms:
-0.16 + 0.14 + 0.16y = 0.18y + -0.01(70)

Combine like terms: -0.16 + 0.14 = -0.02
-0.02 + 0.16y = 0.18y + -0.01(70)

Multiply -0.01 * 70
-0.02 + 0.16y = 0.18y + -0.7

Reorder the terms:
-0.02 + 0.16y = -0.7 + 0.18y

Solving
-0.02 + 0.16y = -0.7 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.02 + 0.16y + -0.18y = -0.7 + 0.18y + -0.18y

Combine like terms: 0.16y + -0.18y = -0.02y
-0.02 + -0.02y = -0.7 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.02 + -0.02y = -0.7 + 0.00
-0.02 + -0.02y = -0.7

Add '0.02' to each side of the equation.
-0.02 + 0.02 + -0.02y = -0.7 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + -0.02y = -0.7 + 0.02
-0.02y = -0.7 + 0.02

Combine like terms: -0.7 + 0.02 = -0.68
-0.02y = -0.68

Divide each side by '-0.02'.
y = 34

Simplifying
y = 34

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