12.4-32.3y=-4.3y+4(-8y+1.6)

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Solution for 12.4-32.3y=-4.3y+4(-8y+1.6) equation: 


Simplifying
12.4 + -32.3y = -4.3y + 4(-8y + 1.6)

Reorder the terms:
12.4 + -32.3y = -4.3y + 4(1.6 + -8y)
12.4 + -32.3y = -4.3y + (1.6 * 4 + -8y * 4)
12.4 + -32.3y = -4.3y + (6.4 + -32y)

Reorder the terms:
12.4 + -32.3y = 6.4 + -4.3y + -32y

Combine like terms: -4.3y + -32y = -36.3y
12.4 + -32.3y = 6.4 + -36.3y

Solving
12.4 + -32.3y = 6.4 + -36.3y

Solving for variable 'y'.

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

Add '36.3y' to each side of the equation.
12.4 + -32.3y + 36.3y = 6.4 + -36.3y + 36.3y

Combine like terms: -32.3y + 36.3y = 4y
12.4 + 4y = 6.4 + -36.3y + 36.3y

Combine like terms: -36.3y + 36.3y = 0.0
12.4 + 4y = 6.4 + 0.0
12.4 + 4y = 6.4

Add '-12.4' to each side of the equation.
12.4 + -12.4 + 4y = 6.4 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + 4y = 6.4 + -12.4
4y = 6.4 + -12.4

Combine like terms: 6.4 + -12.4 = -6
4y = -6

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5

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