2(y-1)=y+5x(x+1)

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Solution for 2(y-1)=y+5x(x+1) equation:


Simplifying
2(y + -1) = y + 5x(x + 1)

Reorder the terms:
2(-1 + y) = y + 5x(x + 1)
(-1 * 2 + y * 2) = y + 5x(x + 1)
(-2 + 2y) = y + 5x(x + 1)

Reorder the terms:
-2 + 2y = y + 5x(1 + x)
-2 + 2y = y + (1 * 5x + x * 5x)
-2 + 2y = y + (5x + 5x2)

Reorder the terms:
-2 + 2y = 5x + 5x2 + y

Solving
-2 + 2y = 5x + 5x2 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-2 + 2y + -1y = 5x + 5x2 + y + -1y

Combine like terms: 2y + -1y = 1y
-2 + 1y = 5x + 5x2 + y + -1y

Combine like terms: y + -1y = 0
-2 + 1y = 5x + 5x2 + 0
-2 + 1y = 5x + 5x2

Add '2' to each side of the equation.
-2 + 2 + 1y = 5x + 2 + 5x2

Combine like terms: -2 + 2 = 0
0 + 1y = 5x + 2 + 5x2
1y = 5x + 2 + 5x2

Reorder the terms:
1y = 2 + 5x + 5x2

Divide each side by '1'.
y = 2 + 5x + 5x2

Simplifying
y = 2 + 5x + 5x2

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