3y+37=a(y+18)+y+1

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Solution for 3y+37=a(y+18)+y+1 equation: 


Simplifying
3y + 37 = a(y + 18) + y + 1

Reorder the terms:
37 + 3y = a(y + 18) + y + 1

Reorder the terms:
37 + 3y = a(18 + y) + y + 1
37 + 3y = (18 * a + y * a) + y + 1
37 + 3y = (18a + ay) + y + 1

Reorder the terms:
37 + 3y = 1 + 18a + ay + y

Solving
37 + 3y = 1 + 18a + ay + y

Solving for variable 'y'.

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

Add '-1ay' to each side of the equation.
37 + -1ay + 3y = 1 + 18a + ay + -1ay + y

Combine like terms: ay + -1ay = 0
37 + -1ay + 3y = 1 + 18a + 0 + y
37 + -1ay + 3y = 1 + 18a + y

Add '-1y' to each side of the equation.
37 + -1ay + 3y + -1y = 1 + 18a + y + -1y

Combine like terms: 3y + -1y = 2y
37 + -1ay + 2y = 1 + 18a + y + -1y

Combine like terms: y + -1y = 0
37 + -1ay + 2y = 1 + 18a + 0
37 + -1ay + 2y = 1 + 18a

Add '-37' to each side of the equation.
37 + -1ay + -37 + 2y = 1 + -37 + 18a

Reorder the terms:
37 + -37 + -1ay + 2y = 1 + -37 + 18a

Combine like terms: 37 + -37 = 0
0 + -1ay + 2y = 1 + -37 + 18a
-1ay + 2y = 1 + -37 + 18a

Combine like terms: 1 + -37 = -36
-1ay + 2y = -36 + 18a

Reorder the terms:
36 + -18a + -1ay + 2y = -36 + 18a + 36 + -18a

Reorder the terms:
36 + -18a + -1ay + 2y = -36 + 36 + 18a + -18a

Combine like terms: -36 + 36 = 0
36 + -18a + -1ay + 2y = 0 + 18a + -18a
36 + -18a + -1ay + 2y = 18a + -18a

Combine like terms: 18a + -18a = 0
36 + -18a + -1ay + 2y = 0

The solution to this equation could not be determined.

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