7Y+10=3Y-2

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Solution for 7Y+10=3Y-2 equation:


Simplifying
7Y + 10 = 3Y + -2

Reorder the terms:
10 + 7Y = 3Y + -2

Reorder the terms:
10 + 7Y = -2 + 3Y

Solving
10 + 7Y = -2 + 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.
10 + 7Y + -3Y = -2 + 3Y + -3Y

Combine like terms: 7Y + -3Y = 4Y
10 + 4Y = -2 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
10 + 4Y = -2 + 0
10 + 4Y = -2

Add '-10' to each side of the equation.
10 + -10 + 4Y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 4Y = -2 + -10
4Y = -2 + -10

Combine like terms: -2 + -10 = -12
4Y = -12

Divide each side by '4'.
Y = -3

Simplifying
Y = -3

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