7Y+17=-2Y-10

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Solution for 7Y+17=-2Y-10 equation:


Simplifying
7Y + 17 = -2Y + -10

Reorder the terms:
17 + 7Y = -2Y + -10

Reorder the terms:
17 + 7Y = -10 + -2Y

Solving
17 + 7Y = -10 + -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.
17 + 7Y + 2Y = -10 + -2Y + 2Y

Combine like terms: 7Y + 2Y = 9Y
17 + 9Y = -10 + -2Y + 2Y

Combine like terms: -2Y + 2Y = 0
17 + 9Y = -10 + 0
17 + 9Y = -10

Add '-17' to each side of the equation.
17 + -17 + 9Y = -10 + -17

Combine like terms: 17 + -17 = 0
0 + 9Y = -10 + -17
9Y = -10 + -17

Combine like terms: -10 + -17 = -27
9Y = -27

Divide each side by '9'.
Y = -3

Simplifying
Y = -3

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