.2(y-3)=-3(y-5)

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Solution for .2(y-3)=-3(y-5) equation: 


Simplifying
0.2(y + -3) = -3(y + -5)

Reorder the terms:
0.2(-3 + y) = -3(y + -5)
(-3 * 0.2 + y * 0.2) = -3(y + -5)
(-0.6 + 0.2y) = -3(y + -5)

Reorder the terms:
-0.6 + 0.2y = -3(-5 + y)
-0.6 + 0.2y = (-5 * -3 + y * -3)
-0.6 + 0.2y = (15 + -3y)

Solving
-0.6 + 0.2y = 15 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-0.6 + 0.2y + 3y = 15 + -3y + 3y

Combine like terms: 0.2y + 3y = 3.2y
-0.6 + 3.2y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
-0.6 + 3.2y = 15 + 0
-0.6 + 3.2y = 15

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 3.2y = 15 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 3.2y = 15 + 0.6
3.2y = 15 + 0.6

Combine like terms: 15 + 0.6 = 15.6
3.2y = 15.6

Divide each side by '3.2'.
y = 4.875

Simplifying
y = 4.875

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