0.10(y-5)+0.12y=0.14y-0.7

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Solution for 0.10(y-5)+0.12y=0.14y-0.7 equation: 


Simplifying
0.10(y + -5) + 0.12y = 0.14y + -0.7

Reorder the terms:
0.10(-5 + y) + 0.12y = 0.14y + -0.7
(-5 * 0.10 + y * 0.10) + 0.12y = 0.14y + -0.7
(-0.5 + 0.10y) + 0.12y = 0.14y + -0.7

Combine like terms: 0.10y + 0.12y = 0.22y
-0.5 + 0.22y = 0.14y + -0.7

Reorder the terms:
-0.5 + 0.22y = -0.7 + 0.14y

Solving
-0.5 + 0.22y = -0.7 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-0.5 + 0.22y + -0.14y = -0.7 + 0.14y + -0.14y

Combine like terms: 0.22y + -0.14y = 0.08y
-0.5 + 0.08y = -0.7 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.5 + 0.08y = -0.7 + 0.00
-0.5 + 0.08y = -0.7

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

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

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

Divide each side by '0.08'.
y = -2.5

Simplifying
y = -2.5

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