1.6(6y-5)-y=-4(y-4)

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Solution for 1.6(6y-5)-y=-4(y-4) equation:


Simplifying
1.6(6y + -5) + -1y = -4(y + -4)

Reorder the terms:
1.6(-5 + 6y) + -1y = -4(y + -4)
(-5 * 1.6 + 6y * 1.6) + -1y = -4(y + -4)
(-8 + 9.6y) + -1y = -4(y + -4)

Combine like terms: 9.6y + -1y = 8.6y
-8 + 8.6y = -4(y + -4)

Reorder the terms:
-8 + 8.6y = -4(-4 + y)
-8 + 8.6y = (-4 * -4 + y * -4)
-8 + 8.6y = (16 + -4y)

Solving
-8 + 8.6y = 16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-8 + 8.6y + 4y = 16 + -4y + 4y

Combine like terms: 8.6y + 4y = 12.6y
-8 + 12.6y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
-8 + 12.6y = 16 + 0
-8 + 12.6y = 16

Add '8' to each side of the equation.
-8 + 8 + 12.6y = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 12.6y = 16 + 8
12.6y = 16 + 8

Combine like terms: 16 + 8 = 24
12.6y = 24

Divide each side by '12.6'.
y = 1.904761905

Simplifying
y = 1.904761905

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