.2(y+4)-3y=.4(2y-7)

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Solution for .2(y+4)-3y=.4(2y-7) equation: 


Simplifying
0.2(y + 4) + -3y = 0.4(2y + -7)

Reorder the terms:
0.2(4 + y) + -3y = 0.4(2y + -7)
(4 * 0.2 + y * 0.2) + -3y = 0.4(2y + -7)
(0.8 + 0.2y) + -3y = 0.4(2y + -7)

Combine like terms: 0.2y + -3y = -2.8y
0.8 + -2.8y = 0.4(2y + -7)

Reorder the terms:
0.8 + -2.8y = 0.4(-7 + 2y)
0.8 + -2.8y = (-7 * 0.4 + 2y * 0.4)
0.8 + -2.8y = (-2.8 + 0.8y)

Solving
0.8 + -2.8y = -2.8 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
0.8 + -2.8y + -0.8y = -2.8 + 0.8y + -0.8y

Combine like terms: -2.8y + -0.8y = -3.6y
0.8 + -3.6y = -2.8 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.8 + -3.6y = -2.8 + 0.0
0.8 + -3.6y = -2.8

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -3.6y = -2.8 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -3.6y = -2.8 + -0.8
-3.6y = -2.8 + -0.8

Combine like terms: -2.8 + -0.8 = -3.6
-3.6y = -3.6

Divide each side by '-3.6'.
y = 1

Simplifying
y = 1

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