1.8(5y+64)=1.4(20+2y)

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Solution for 1.8(5y+64)=1.4(20+2y) equation: 


Simplifying
1.8(5y + 64) = 1.4(20 + 2y)

Reorder the terms:
1.8(64 + 5y) = 1.4(20 + 2y)
(64 * 1.8 + 5y * 1.8) = 1.4(20 + 2y)
(115.2 + 9y) = 1.4(20 + 2y)
115.2 + 9y = (20 * 1.4 + 2y * 1.4)
115.2 + 9y = (28 + 2.8y)

Solving
115.2 + 9y = 28 + 2.8y

Solving for variable 'y'.

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

Add '-2.8y' to each side of the equation.
115.2 + 9y + -2.8y = 28 + 2.8y + -2.8y

Combine like terms: 9y + -2.8y = 6.2y
115.2 + 6.2y = 28 + 2.8y + -2.8y

Combine like terms: 2.8y + -2.8y = 0.0
115.2 + 6.2y = 28 + 0.0
115.2 + 6.2y = 28

Add '-115.2' to each side of the equation.
115.2 + -115.2 + 6.2y = 28 + -115.2

Combine like terms: 115.2 + -115.2 = 0.0
0.0 + 6.2y = 28 + -115.2
6.2y = 28 + -115.2

Combine like terms: 28 + -115.2 = -87.2
6.2y = -87.2

Divide each side by '6.2'.
y = -14.06451613

Simplifying
y = -14.06451613

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