4(y+5)-(y-9)=x

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Solution for 4(y+5)-(y-9)=x equation:


Simplifying
4(y + 5) + -1(y + -9) = x

Reorder the terms:
4(5 + y) + -1(y + -9) = x
(5 * 4 + y * 4) + -1(y + -9) = x
(20 + 4y) + -1(y + -9) = x

Reorder the terms:
20 + 4y + -1(-9 + y) = x
20 + 4y + (-9 * -1 + y * -1) = x
20 + 4y + (9 + -1y) = x

Reorder the terms:
20 + 9 + 4y + -1y = x

Combine like terms: 20 + 9 = 29
29 + 4y + -1y = x

Combine like terms: 4y + -1y = 3y
29 + 3y = x

Solving
29 + 3y = x

Solving for variable 'y'.

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

Add '-29' to each side of the equation.
29 + -29 + 3y = -29 + x

Combine like terms: 29 + -29 = 0
0 + 3y = -29 + x
3y = -29 + x

Divide each side by '3'.
y = -9.666666667 + 0.3333333333x

Simplifying
y = -9.666666667 + 0.3333333333x

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