5y+4=8y-2(4y-3)

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Solution for 5y+4=8y-2(4y-3) equation:


Simplifying
5y + 4 = 8y + -2(4y + -3)

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

Reorder the terms:
4 + 5y = 8y + -2(-3 + 4y)
4 + 5y = 8y + (-3 * -2 + 4y * -2)
4 + 5y = 8y + (6 + -8y)

Reorder the terms:
4 + 5y = 6 + 8y + -8y

Combine like terms: 8y + -8y = 0
4 + 5y = 6 + 0
4 + 5y = 6

Solving
4 + 5y = 6

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 5y = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 6 + -4
5y = 6 + -4

Combine like terms: 6 + -4 = 2
5y = 2

Divide each side by '5'.
y = 0.4

Simplifying
y = 0.4

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