2Y+3=6Y-7

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Solution for 2Y+3=6Y-7 equation:


Simplifying
2Y + 3 = 6Y + -7

Reorder the terms:
3 + 2Y = 6Y + -7

Reorder the terms:
3 + 2Y = -7 + 6Y

Solving
3 + 2Y = -7 + 6Y

Solving for variable 'Y'.

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

Add '-6Y' to each side of the equation.
3 + 2Y + -6Y = -7 + 6Y + -6Y

Combine like terms: 2Y + -6Y = -4Y
3 + -4Y = -7 + 6Y + -6Y

Combine like terms: 6Y + -6Y = 0
3 + -4Y = -7 + 0
3 + -4Y = -7

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

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

Combine like terms: -7 + -3 = -10
-4Y = -10

Divide each side by '-4'.
Y = 2.5

Simplifying
Y = 2.5

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