24-10y+2+8y=2(4-3y)

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Solution for 24-10y+2+8y=2(4-3y) equation:


Simplifying
24 + -10y + 2 + 8y = 2(4 + -3y)

Reorder the terms:
24 + 2 + -10y + 8y = 2(4 + -3y)

Combine like terms: 24 + 2 = 26
26 + -10y + 8y = 2(4 + -3y)

Combine like terms: -10y + 8y = -2y
26 + -2y = 2(4 + -3y)
26 + -2y = (4 * 2 + -3y * 2)
26 + -2y = (8 + -6y)

Solving
26 + -2y = 8 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
26 + -2y + 6y = 8 + -6y + 6y

Combine like terms: -2y + 6y = 4y
26 + 4y = 8 + -6y + 6y

Combine like terms: -6y + 6y = 0
26 + 4y = 8 + 0
26 + 4y = 8

Add '-26' to each side of the equation.
26 + -26 + 4y = 8 + -26

Combine like terms: 26 + -26 = 0
0 + 4y = 8 + -26
4y = 8 + -26

Combine like terms: 8 + -26 = -18
4y = -18

Divide each side by '4'.
y = -4.5

Simplifying
y = -4.5

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