.04(y-7)+.10y=.16y-.3

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Solution for .04(y-7)+.10y=.16y-.3 equation: 


Simplifying
0.04(y + -7) + 0.10y = 0.16y + -0.3

Reorder the terms:
0.04(-7 + y) + 0.10y = 0.16y + -0.3
(-7 * 0.04 + y * 0.04) + 0.10y = 0.16y + -0.3
(-0.28 + 0.04y) + 0.10y = 0.16y + -0.3

Combine like terms: 0.04y + 0.10y = 0.14y
-0.28 + 0.14y = 0.16y + -0.3

Reorder the terms:
-0.28 + 0.14y = -0.3 + 0.16y

Solving
-0.28 + 0.14y = -0.3 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.28 + 0.14y + -0.16y = -0.3 + 0.16y + -0.16y

Combine like terms: 0.14y + -0.16y = -0.02y
-0.28 + -0.02y = -0.3 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.28 + -0.02y = -0.3 + 0.00
-0.28 + -0.02y = -0.3

Add '0.28' to each side of the equation.
-0.28 + 0.28 + -0.02y = -0.3 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + -0.02y = -0.3 + 0.28
-0.02y = -0.3 + 0.28

Combine like terms: -0.3 + 0.28 = -0.02
-0.02y = -0.02

Divide each side by '-0.02'.
y = 1

Simplifying
y = 1

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