15y-(3-[4y+4]+57)=2-y

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Solution for 15y-(3-[4y+4]+57)=2-y equation:


Simplifying
15y + -1(3 + -1[4y + 4] + 57) = 2 + -1y

Reorder the terms:
15y + -1(3 + -1[4 + 4y] + 57) = 2 + -1y
15y + -1(3 + [4 * -1 + 4y * -1] + 57) = 2 + -1y
15y + -1(3 + [-4 + -4y] + 57) = 2 + -1y

Reorder the terms:
15y + -1(3 + -4 + 57 + -4y) = 2 + -1y

Combine like terms: 3 + -4 = -1
15y + -1(-1 + 57 + -4y) = 2 + -1y

Combine like terms: -1 + 57 = 56
15y + -1(56 + -4y) = 2 + -1y
15y + (56 * -1 + -4y * -1) = 2 + -1y
15y + (-56 + 4y) = 2 + -1y

Reorder the terms:
-56 + 15y + 4y = 2 + -1y

Combine like terms: 15y + 4y = 19y
-56 + 19y = 2 + -1y

Solving
-56 + 19y = 2 + -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.
-56 + 19y + y = 2 + -1y + y

Combine like terms: 19y + y = 20y
-56 + 20y = 2 + -1y + y

Combine like terms: -1y + y = 0
-56 + 20y = 2 + 0
-56 + 20y = 2

Add '56' to each side of the equation.
-56 + 56 + 20y = 2 + 56

Combine like terms: -56 + 56 = 0
0 + 20y = 2 + 56
20y = 2 + 56

Combine like terms: 2 + 56 = 58
20y = 58

Divide each side by '20'.
y = 2.9

Simplifying
y = 2.9

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