.3(y+8)+8=.16(9y-24)-4

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Solution for .3(y+8)+8=.16(9y-24)-4 equation: 


Simplifying
0.3(y + 8) + 8 = 0.16(9y + -24) + -4

Reorder the terms:
0.3(8 + y) + 8 = 0.16(9y + -24) + -4
(8 * 0.3 + y * 0.3) + 8 = 0.16(9y + -24) + -4
(2.4 + 0.3y) + 8 = 0.16(9y + -24) + -4

Reorder the terms:
2.4 + 8 + 0.3y = 0.16(9y + -24) + -4

Combine like terms: 2.4 + 8 = 10.4
10.4 + 0.3y = 0.16(9y + -24) + -4

Reorder the terms:
10.4 + 0.3y = 0.16(-24 + 9y) + -4
10.4 + 0.3y = (-24 * 0.16 + 9y * 0.16) + -4
10.4 + 0.3y = (-3.84 + 1.44y) + -4

Reorder the terms:
10.4 + 0.3y = -3.84 + -4 + 1.44y

Combine like terms: -3.84 + -4 = -7.84
10.4 + 0.3y = -7.84 + 1.44y

Solving
10.4 + 0.3y = -7.84 + 1.44y

Solving for variable 'y'.

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

Add '-1.44y' to each side of the equation.
10.4 + 0.3y + -1.44y = -7.84 + 1.44y + -1.44y

Combine like terms: 0.3y + -1.44y = -1.14y
10.4 + -1.14y = -7.84 + 1.44y + -1.44y

Combine like terms: 1.44y + -1.44y = 0.00
10.4 + -1.14y = -7.84 + 0.00
10.4 + -1.14y = -7.84

Add '-10.4' to each side of the equation.
10.4 + -10.4 + -1.14y = -7.84 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + -1.14y = -7.84 + -10.4
-1.14y = -7.84 + -10.4

Combine like terms: -7.84 + -10.4 = -18.24
-1.14y = -18.24

Divide each side by '-1.14'.
y = 16

Simplifying
y = 16

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