2(y+4)=5(2.9y-3)

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Solution for 2(y+4)=5(2.9y-3) equation:


Simplifying
2(y + 4) = 5(2.9y + -3)

Reorder the terms:
2(4 + y) = 5(2.9y + -3)
(4 * 2 + y * 2) = 5(2.9y + -3)
(8 + 2y) = 5(2.9y + -3)

Reorder the terms:
8 + 2y = 5(-3 + 2.9y)
8 + 2y = (-3 * 5 + 2.9y * 5)
8 + 2y = (-15 + 14.5y)

Solving
8 + 2y = -15 + 14.5y

Solving for variable 'y'.

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

Add '-14.5y' to each side of the equation.
8 + 2y + -14.5y = -15 + 14.5y + -14.5y

Combine like terms: 2y + -14.5y = -12.5y
8 + -12.5y = -15 + 14.5y + -14.5y

Combine like terms: 14.5y + -14.5y = 0.0
8 + -12.5y = -15 + 0.0
8 + -12.5y = -15

Add '-8' to each side of the equation.
8 + -8 + -12.5y = -15 + -8

Combine like terms: 8 + -8 = 0
0 + -12.5y = -15 + -8
-12.5y = -15 + -8

Combine like terms: -15 + -8 = -23
-12.5y = -23

Divide each side by '-12.5'.
y = 1.84

Simplifying
y = 1.84

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