8*2+25-y=2(y+1)+6

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Solution for 8*2+25-y=2(y+1)+6 equation:


Simplifying
8 * 2 + 25 + -1y = 2(y + 1) + 6

Multiply 8 * 2
16 + 25 + -1y = 2(y + 1) + 6

Combine like terms: 16 + 25 = 41
41 + -1y = 2(y + 1) + 6

Reorder the terms:
41 + -1y = 2(1 + y) + 6
41 + -1y = (1 * 2 + y * 2) + 6
41 + -1y = (2 + 2y) + 6

Reorder the terms:
41 + -1y = 2 + 6 + 2y

Combine like terms: 2 + 6 = 8
41 + -1y = 8 + 2y

Solving
41 + -1y = 8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
41 + -1y + -2y = 8 + 2y + -2y

Combine like terms: -1y + -2y = -3y
41 + -3y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
41 + -3y = 8 + 0
41 + -3y = 8

Add '-41' to each side of the equation.
41 + -41 + -3y = 8 + -41

Combine like terms: 41 + -41 = 0
0 + -3y = 8 + -41
-3y = 8 + -41

Combine like terms: 8 + -41 = -33
-3y = -33

Divide each side by '-3'.
y = 11

Simplifying
y = 11

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