2+4(9-y)=-y-1

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Solution for 2+4(9-y)=-y-1 equation: 


Simplifying
2 + 4(9 + -1y) = -1y + -1
2 + (9 * 4 + -1y * 4) = -1y + -1
2 + (36 + -4y) = -1y + -1

Combine like terms: 2 + 36 = 38
38 + -4y = -1y + -1

Reorder the terms:
38 + -4y = -1 + -1y

Solving
38 + -4y = -1 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
38 + -4y + y = -1 + -1y + y

Combine like terms: -4y + y = -3y
38 + -3y = -1 + -1y + y

Combine like terms: -1y + y = 0
38 + -3y = -1 + 0
38 + -3y = -1

Add '-38' to each side of the equation.
38 + -38 + -3y = -1 + -38

Combine like terms: 38 + -38 = 0
0 + -3y = -1 + -38
-3y = -1 + -38

Combine like terms: -1 + -38 = -39
-3y = -39

Divide each side by '-3'.
y = 13

Simplifying
y = 13

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