0.16(y-3)+0.02y=0.10y-0.7

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Solution for 0.16(y-3)+0.02y=0.10y-0.7 equation: 


Simplifying
0.16(y + -3) + 0.02y = 0.10y + -0.7

Reorder the terms:
0.16(-3 + y) + 0.02y = 0.10y + -0.7
(-3 * 0.16 + y * 0.16) + 0.02y = 0.10y + -0.7
(-0.48 + 0.16y) + 0.02y = 0.10y + -0.7

Combine like terms: 0.16y + 0.02y = 0.18y
-0.48 + 0.18y = 0.10y + -0.7

Reorder the terms:
-0.48 + 0.18y = -0.7 + 0.10y

Solving
-0.48 + 0.18y = -0.7 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.48 + 0.18y + -0.10y = -0.7 + 0.10y + -0.10y

Combine like terms: 0.18y + -0.10y = 0.08y
-0.48 + 0.08y = -0.7 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.48 + 0.08y = -0.7 + 0.00
-0.48 + 0.08y = -0.7

Add '0.48' to each side of the equation.
-0.48 + 0.48 + 0.08y = -0.7 + 0.48

Combine like terms: -0.48 + 0.48 = 0.00
0.00 + 0.08y = -0.7 + 0.48
0.08y = -0.7 + 0.48

Combine like terms: -0.7 + 0.48 = -0.22
0.08y = -0.22

Divide each side by '0.08'.
y = -2.75

Simplifying
y = -2.75

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