.5(y+2)-.3=.4y+.5

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Solution for .5(y+2)-.3=.4y+.5 equation: 


Simplifying
0.5(y + 2) + -0.3 = 0.4y + 0.5

Reorder the terms:
0.5(2 + y) + -0.3 = 0.4y + 0.5
(2 * 0.5 + y * 0.5) + -0.3 = 0.4y + 0.5
(1 + 0.5y) + -0.3 = 0.4y + 0.5

Reorder the terms:
1 + -0.3 + 0.5y = 0.4y + 0.5

Combine like terms: 1 + -0.3 = 0.7
0.7 + 0.5y = 0.4y + 0.5

Reorder the terms:
0.7 + 0.5y = 0.5 + 0.4y

Solving
0.7 + 0.5y = 0.5 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
0.7 + 0.5y + -0.4y = 0.5 + 0.4y + -0.4y

Combine like terms: 0.5y + -0.4y = 0.1y
0.7 + 0.1y = 0.5 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
0.7 + 0.1y = 0.5 + 0.0
0.7 + 0.1y = 0.5

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.1y = 0.5 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.1y = 0.5 + -0.7
0.1y = 0.5 + -0.7

Combine like terms: 0.5 + -0.7 = -0.2
0.1y = -0.2

Divide each side by '0.1'.
y = -2

Simplifying
y = -2

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