.2y-4=.5y-7

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Solution for .2y-4=.5y-7 equation:


Simplifying
0.2y + -4 = 0.5y + -7

Reorder the terms:
-4 + 0.2y = 0.5y + -7

Reorder the terms:
-4 + 0.2y = -7 + 0.5y

Solving
-4 + 0.2y = -7 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
-4 + 0.2y + -0.5y = -7 + 0.5y + -0.5y

Combine like terms: 0.2y + -0.5y = -0.3y
-4 + -0.3y = -7 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-4 + -0.3y = -7 + 0.0
-4 + -0.3y = -7

Add '4' to each side of the equation.
-4 + 4 + -0.3y = -7 + 4

Combine like terms: -4 + 4 = 0
0 + -0.3y = -7 + 4
-0.3y = -7 + 4

Combine like terms: -7 + 4 = -3
-0.3y = -3

Divide each side by '-0.3'.
y = 10

Simplifying
y = 10

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