5y-[2(y+1)+2]=7

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Solution for 5y-[2(y+1)+2]=7 equation:


Simplifying
5y + -1[2(y + 1) + 2] = 7

Reorder the terms:
5y + -1[2(1 + y) + 2] = 7
5y + -1[(1 * 2 + y * 2) + 2] = 7
5y + -1[(2 + 2y) + 2] = 7

Reorder the terms:
5y + -1[2 + 2 + 2y] = 7

Combine like terms: 2 + 2 = 4
5y + -1[4 + 2y] = 7
5y + [4 * -1 + 2y * -1] = 7
5y + [-4 + -2y] = 7

Reorder the terms:
-4 + 5y + -2y = 7

Combine like terms: 5y + -2y = 3y
-4 + 3y = 7

Solving
-4 + 3y = 7

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 3y = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 7 + 4
3y = 7 + 4

Combine like terms: 7 + 4 = 11
3y = 11

Divide each side by '3'.
y = 3.666666667

Simplifying
y = 3.666666667

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