4y+30=10-(5y-4)

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Solution for 4y+30=10-(5y-4) equation:


Simplifying
4y + 30 = 10 + -1(5y + -4)

Reorder the terms:
30 + 4y = 10 + -1(5y + -4)

Reorder the terms:
30 + 4y = 10 + -1(-4 + 5y)
30 + 4y = 10 + (-4 * -1 + 5y * -1)
30 + 4y = 10 + (4 + -5y)

Combine like terms: 10 + 4 = 14
30 + 4y = 14 + -5y

Solving
30 + 4y = 14 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
30 + 4y + 5y = 14 + -5y + 5y

Combine like terms: 4y + 5y = 9y
30 + 9y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
30 + 9y = 14 + 0
30 + 9y = 14

Add '-30' to each side of the equation.
30 + -30 + 9y = 14 + -30

Combine like terms: 30 + -30 = 0
0 + 9y = 14 + -30
9y = 14 + -30

Combine like terms: 14 + -30 = -16
9y = -16

Divide each side by '9'.
y = -1.777777778

Simplifying
y = -1.777777778

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