2x+3y-37=2x-3y-4

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Solution for 2x+3y-37=2x-3y-4 equation:


Simplifying
2x + 3y + -37 = 2x + -3y + -4

Reorder the terms:
-37 + 2x + 3y = 2x + -3y + -4

Reorder the terms:
-37 + 2x + 3y = -4 + 2x + -3y

Add '-2x' to each side of the equation.
-37 + 2x + -2x + 3y = -4 + 2x + -2x + -3y

Combine like terms: 2x + -2x = 0
-37 + 0 + 3y = -4 + 2x + -2x + -3y
-37 + 3y = -4 + 2x + -2x + -3y

Combine like terms: 2x + -2x = 0
-37 + 3y = -4 + 0 + -3y
-37 + 3y = -4 + -3y

Solving
-37 + 3y = -4 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-37 + 3y + 3y = -4 + -3y + 3y

Combine like terms: 3y + 3y = 6y
-37 + 6y = -4 + -3y + 3y

Combine like terms: -3y + 3y = 0
-37 + 6y = -4 + 0
-37 + 6y = -4

Add '37' to each side of the equation.
-37 + 37 + 6y = -4 + 37

Combine like terms: -37 + 37 = 0
0 + 6y = -4 + 37
6y = -4 + 37

Combine like terms: -4 + 37 = 33
6y = 33

Divide each side by '6'.
y = 5.5

Simplifying
y = 5.5

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