0.04(y-7)+0.10y=0.02y-0.7

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Solution for 0.04(y-7)+0.10y=0.02y-0.7 equation: 


Simplifying
0.04(y + -7) + 0.10y = 0.02y + -0.7

Reorder the terms:
0.04(-7 + y) + 0.10y = 0.02y + -0.7
(-7 * 0.04 + y * 0.04) + 0.10y = 0.02y + -0.7
(-0.28 + 0.04y) + 0.10y = 0.02y + -0.7

Combine like terms: 0.04y + 0.10y = 0.14y
-0.28 + 0.14y = 0.02y + -0.7

Reorder the terms:
-0.28 + 0.14y = -0.7 + 0.02y

Solving
-0.28 + 0.14y = -0.7 + 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.
-0.28 + 0.14y + -0.02y = -0.7 + 0.02y + -0.02y

Combine like terms: 0.14y + -0.02y = 0.12y
-0.28 + 0.12y = -0.7 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.28 + 0.12y = -0.7 + 0.00
-0.28 + 0.12y = -0.7

Add '0.28' to each side of the equation.
-0.28 + 0.28 + 0.12y = -0.7 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + 0.12y = -0.7 + 0.28
0.12y = -0.7 + 0.28

Combine like terms: -0.7 + 0.28 = -0.42
0.12y = -0.42

Divide each side by '0.12'.
y = -3.5

Simplifying
y = -3.5

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