0.10(y-7)+0.04y=0.06y-0.5

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Solution for 0.10(y-7)+0.04y=0.06y-0.5 equation:


Simplifying
0.10(y + -7) + 0.04y = 0.06y + -0.5

Reorder the terms:
0.10(-7 + y) + 0.04y = 0.06y + -0.5
(-7 * 0.10 + y * 0.10) + 0.04y = 0.06y + -0.5
(-0.7 + 0.10y) + 0.04y = 0.06y + -0.5

Combine like terms: 0.10y + 0.04y = 0.14y
-0.7 + 0.14y = 0.06y + -0.5

Reorder the terms:
-0.7 + 0.14y = -0.5 + 0.06y

Solving
-0.7 + 0.14y = -0.5 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.7 + 0.14y + -0.06y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.14y + -0.06y = 0.08y
-0.7 + 0.08y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.7 + 0.08y = -0.5 + 0.00
-0.7 + 0.08y = -0.5

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.08y = -0.5 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.08y = -0.5 + 0.7
0.08y = -0.5 + 0.7

Combine like terms: -0.5 + 0.7 = 0.2
0.08y = 0.2

Divide each side by '0.08'.
y = 2.5

Simplifying
y = 2.5

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