.4(y+3)-.5=.33(y-2)+.5

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Solution for .4(y+3)-.5=.33(y-2)+.5 equation:


Simplifying
0.4(y + 3) + -0.5 = 0.33(y + -2) + 0.5

Reorder the terms:
0.4(3 + y) + -0.5 = 0.33(y + -2) + 0.5
(3 * 0.4 + y * 0.4) + -0.5 = 0.33(y + -2) + 0.5
(1.2 + 0.4y) + -0.5 = 0.33(y + -2) + 0.5

Reorder the terms:
1.2 + -0.5 + 0.4y = 0.33(y + -2) + 0.5

Combine like terms: 1.2 + -0.5 = 0.7
0.7 + 0.4y = 0.33(y + -2) + 0.5

Reorder the terms:
0.7 + 0.4y = 0.33(-2 + y) + 0.5
0.7 + 0.4y = (-2 * 0.33 + y * 0.33) + 0.5
0.7 + 0.4y = (-0.66 + 0.33y) + 0.5

Reorder the terms:
0.7 + 0.4y = -0.66 + 0.5 + 0.33y

Combine like terms: -0.66 + 0.5 = -0.16
0.7 + 0.4y = -0.16 + 0.33y

Solving
0.7 + 0.4y = -0.16 + 0.33y

Solving for variable 'y'.

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

Add '-0.33y' to each side of the equation.
0.7 + 0.4y + -0.33y = -0.16 + 0.33y + -0.33y

Combine like terms: 0.4y + -0.33y = 0.07y
0.7 + 0.07y = -0.16 + 0.33y + -0.33y

Combine like terms: 0.33y + -0.33y = 0.00
0.7 + 0.07y = -0.16 + 0.00
0.7 + 0.07y = -0.16

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.07y = -0.16 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.07y = -0.16 + -0.7
0.07y = -0.16 + -0.7

Combine like terms: -0.16 + -0.7 = -0.86
0.07y = -0.86

Divide each side by '0.07'.
y = -12.28571429

Simplifying
y = -12.28571429

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