5y-(3-(4y+4)-57)=2-y

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Solution for 5y-(3-(4y+4)-57)=2-y equation:


Simplifying
5y + -1(3 + -1(4y + 4) + -57) = 2 + -1y

Reorder the terms:
5y + -1(3 + -1(4 + 4y) + -57) = 2 + -1y
5y + -1(3 + (4 * -1 + 4y * -1) + -57) = 2 + -1y
5y + -1(3 + (-4 + -4y) + -57) = 2 + -1y

Reorder the terms:
5y + -1(3 + -4 + -57 + -4y) = 2 + -1y

Combine like terms: 3 + -4 = -1
5y + -1(-1 + -57 + -4y) = 2 + -1y

Combine like terms: -1 + -57 = -58
5y + -1(-58 + -4y) = 2 + -1y
5y + (-58 * -1 + -4y * -1) = 2 + -1y
5y + (58 + 4y) = 2 + -1y

Reorder the terms:
58 + 5y + 4y = 2 + -1y

Combine like terms: 5y + 4y = 9y
58 + 9y = 2 + -1y

Solving
58 + 9y = 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.
58 + 9y + y = 2 + -1y + y

Combine like terms: 9y + y = 10y
58 + 10y = 2 + -1y + y

Combine like terms: -1y + y = 0
58 + 10y = 2 + 0
58 + 10y = 2

Add '-58' to each side of the equation.
58 + -58 + 10y = 2 + -58

Combine like terms: 58 + -58 = 0
0 + 10y = 2 + -58
10y = 2 + -58

Combine like terms: 2 + -58 = -56
10y = -56

Divide each side by '10'.
y = -5.6

Simplifying
y = -5.6

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