(3y+8)=0.7(3y+8)+3.2

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Solution for (3y+8)=0.7(3y+8)+3.2 equation: 


Simplifying
(3y + 8) = 0.7(3y + 8) + 3.2

Reorder the terms:
(8 + 3y) = 0.7(3y + 8) + 3.2

Remove parenthesis around (8 + 3y)
8 + 3y = 0.7(3y + 8) + 3.2

Reorder the terms:
8 + 3y = 0.7(8 + 3y) + 3.2
8 + 3y = (8 * 0.7 + 3y * 0.7) + 3.2
8 + 3y = (5.6 + 2.1y) + 3.2

Reorder the terms:
8 + 3y = 5.6 + 3.2 + 2.1y

Combine like terms: 5.6 + 3.2 = 8.8
8 + 3y = 8.8 + 2.1y

Solving
8 + 3y = 8.8 + 2.1y

Solving for variable 'y'.

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

Add '-2.1y' to each side of the equation.
8 + 3y + -2.1y = 8.8 + 2.1y + -2.1y

Combine like terms: 3y + -2.1y = 0.9y
8 + 0.9y = 8.8 + 2.1y + -2.1y

Combine like terms: 2.1y + -2.1y = 0.0
8 + 0.9y = 8.8 + 0.0
8 + 0.9y = 8.8

Add '-8' to each side of the equation.
8 + -8 + 0.9y = 8.8 + -8

Combine like terms: 8 + -8 = 0
0 + 0.9y = 8.8 + -8
0.9y = 8.8 + -8

Combine like terms: 8.8 + -8 = 0.8
0.9y = 0.8

Divide each side by '0.9'.
y = 0.8888888889

Simplifying
y = 0.8888888889

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