0.33(2y-2)+0.16(8y+7)=

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Solution for 0.33(2y-2)+0.16(8y+7)= equation: 


Simplifying
0.33(2y + -2) + 0.16(8y + 7) = 0

Reorder the terms:
0.33(-2 + 2y) + 0.16(8y + 7) = 0
(-2 * 0.33 + 2y * 0.33) + 0.16(8y + 7) = 0
(-0.66 + 0.66y) + 0.16(8y + 7) = 0

Reorder the terms:
-0.66 + 0.66y + 0.16(7 + 8y) = 0
-0.66 + 0.66y + (7 * 0.16 + 8y * 0.16) = 0
-0.66 + 0.66y + (1.12 + 1.28y) = 0

Reorder the terms:
-0.66 + 1.12 + 0.66y + 1.28y = 0

Combine like terms: -0.66 + 1.12 = 0.46
0.46 + 0.66y + 1.28y = 0

Combine like terms: 0.66y + 1.28y = 1.94y
0.46 + 1.94y = 0

Solving
0.46 + 1.94y = 0

Solving for variable 'y'.

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

Add '-0.46' to each side of the equation.
0.46 + -0.46 + 1.94y = 0 + -0.46

Combine like terms: 0.46 + -0.46 = 0.00
0.00 + 1.94y = 0 + -0.46
1.94y = 0 + -0.46

Combine like terms: 0 + -0.46 = -0.46
1.94y = -0.46

Divide each side by '1.94'.
y = -0.2371134021

Simplifying
y = -0.2371134021

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