.375(y-5)=(y+2)

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Solution for .375(y-5)=(y+2) equation: 


Simplifying
0.375(y + -5) = (y + 2)

Reorder the terms:
0.375(-5 + y) = (y + 2)
(-5 * 0.375 + y * 0.375) = (y + 2)
(-1.875 + 0.375y) = (y + 2)

Reorder the terms:
-1.875 + 0.375y = (2 + y)

Remove parenthesis around (2 + y)
-1.875 + 0.375y = 2 + y

Solving
-1.875 + 0.375y = 2 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-1.875 + 0.375y + -1y = 2 + y + -1y

Combine like terms: 0.375y + -1y = -0.625y
-1.875 + -0.625y = 2 + y + -1y

Combine like terms: y + -1y = 0
-1.875 + -0.625y = 2 + 0
-1.875 + -0.625y = 2

Add '1.875' to each side of the equation.
-1.875 + 1.875 + -0.625y = 2 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + -0.625y = 2 + 1.875
-0.625y = 2 + 1.875

Combine like terms: 2 + 1.875 = 3.875
-0.625y = 3.875

Divide each side by '-0.625'.
y = -6.2

Simplifying
y = -6.2

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