0.10(y-8)+0.06=0.20y-0.01(70)

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Solution for 0.10(y-8)+0.06=0.20y-0.01(70) equation:


Simplifying
0.10(y + -8) + 0.06 = 0.20y + -0.01(70)

Reorder the terms:
0.10(-8 + y) + 0.06 = 0.20y + -0.01(70)
(-8 * 0.10 + y * 0.10) + 0.06 = 0.20y + -0.01(70)
(-0.8 + 0.10y) + 0.06 = 0.20y + -0.01(70)

Reorder the terms:
-0.8 + 0.06 + 0.10y = 0.20y + -0.01(70)

Combine like terms: -0.8 + 0.06 = -0.74
-0.74 + 0.10y = 0.20y + -0.01(70)

Multiply -0.01 * 70
-0.74 + 0.10y = 0.20y + -0.7

Reorder the terms:
-0.74 + 0.10y = -0.7 + 0.20y

Solving
-0.74 + 0.10y = -0.7 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.74 + 0.10y + -0.20y = -0.7 + 0.20y + -0.20y

Combine like terms: 0.10y + -0.20y = -0.1y
-0.74 + -0.1y = -0.7 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.74 + -0.1y = -0.7 + 0.00
-0.74 + -0.1y = -0.7

Add '0.74' to each side of the equation.
-0.74 + 0.74 + -0.1y = -0.7 + 0.74

Combine like terms: -0.74 + 0.74 = 0.00
0.00 + -0.1y = -0.7 + 0.74
-0.1y = -0.7 + 0.74

Combine like terms: -0.7 + 0.74 = 0.04
-0.1y = 0.04

Divide each side by '-0.1'.
y = -0.4

Simplifying
y = -0.4

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