0.4(2y+1)=y-3

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Solution for 0.4(2y+1)=y-3 equation:


Simplifying
0.4(2y + 1) = y + -3

Reorder the terms:
0.4(1 + 2y) = y + -3
(1 * 0.4 + 2y * 0.4) = y + -3
(0.4 + 0.8y) = y + -3

Reorder the terms:
0.4 + 0.8y = -3 + y

Solving
0.4 + 0.8y = -3 + 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.
0.4 + 0.8y + -1y = -3 + y + -1y

Combine like terms: 0.8y + -1y = -0.2y
0.4 + -0.2y = -3 + y + -1y

Combine like terms: y + -1y = 0
0.4 + -0.2y = -3 + 0
0.4 + -0.2y = -3

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.2y = -3 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.2y = -3 + -0.4
-0.2y = -3 + -0.4

Combine like terms: -3 + -0.4 = -3.4
-0.2y = -3.4

Divide each side by '-0.2'.
y = 17

Simplifying
y = 17

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