55(0.3+0.2y)+10y=6

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Solution for 55(0.3+0.2y)+10y=6 equation: 


Simplifying
55(0.3 + 0.2y) + 10y = 6
(0.3 * 55 + 0.2y * 55) + 10y = 6
(16.5 + 11y) + 10y = 6

Combine like terms: 11y + 10y = 21y
16.5 + 21y = 6

Solving
16.5 + 21y = 6

Solving for variable 'y'.

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

Add '-16.5' to each side of the equation.
16.5 + -16.5 + 21y = 6 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 21y = 6 + -16.5
21y = 6 + -16.5

Combine like terms: 6 + -16.5 = -10.5
21y = -10.5

Divide each side by '21'.
y = -0.5

Simplifying
y = -0.5

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