0.10(y-7)+0.46y=0.06y-0.50

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Solution for 0.10(y-7)+0.46y=0.06y-0.50 equation: 


Simplifying
0.10(y + -7) + 0.46y = 0.06y + -0.50

Reorder the terms:
0.10(-7 + y) + 0.46y = 0.06y + -0.50
(-7 * 0.10 + y * 0.10) + 0.46y = 0.06y + -0.50
(-0.7 + 0.10y) + 0.46y = 0.06y + -0.50

Combine like terms: 0.10y + 0.46y = 0.56y
-0.7 + 0.56y = 0.06y + -0.50

Reorder the terms:
-0.7 + 0.56y = -0.50 + 0.06y

Solving
-0.7 + 0.56y = -0.50 + 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 + 0.56y + -0.06y = -0.50 + 0.06y + -0.06y

Combine like terms: 0.56y + -0.06y = 0.5y
-0.7 + 0.5y = -0.50 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.7 + 0.5y = -0.50 + 0.00
-0.7 + 0.5y = -0.50

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.5y = -0.50 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.5y = -0.50 + 0.7
0.5y = -0.50 + 0.7

Combine like terms: -0.50 + 0.7 = 0.2
0.5y = 0.2

Divide each side by '0.5'.
y = 0.4

Simplifying
y = 0.4

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