0.3(y+8)=-0.3(y-0.5)

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Solution for 0.3(y+8)=-0.3(y-0.5) equation: 


Simplifying
0.3(y + 8) = -0.3(y + -0.5)

Reorder the terms:
0.3(8 + y) = -0.3(y + -0.5)
(8 * 0.3 + y * 0.3) = -0.3(y + -0.5)
(2.4 + 0.3y) = -0.3(y + -0.5)

Reorder the terms:
2.4 + 0.3y = -0.3(-0.5 + y)
2.4 + 0.3y = (-0.5 * -0.3 + y * -0.3)
2.4 + 0.3y = (0.15 + -0.3y)

Solving
2.4 + 0.3y = 0.15 + -0.3y

Solving for variable 'y'.

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

Add '0.3y' to each side of the equation.
2.4 + 0.3y + 0.3y = 0.15 + -0.3y + 0.3y

Combine like terms: 0.3y + 0.3y = 0.6y
2.4 + 0.6y = 0.15 + -0.3y + 0.3y

Combine like terms: -0.3y + 0.3y = 0.0
2.4 + 0.6y = 0.15 + 0.0
2.4 + 0.6y = 0.15

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.6y = 0.15 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.6y = 0.15 + -2.4
0.6y = 0.15 + -2.4

Combine like terms: 0.15 + -2.4 = -2.25
0.6y = -2.25

Divide each side by '0.6'.
y = -3.75

Simplifying
y = -3.75

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