7Y+10=4Y-5

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Solution for 7Y+10=4Y-5 equation: 


Simplifying
7Y + 10 = 4Y + -5

Reorder the terms:
10 + 7Y = 4Y + -5

Reorder the terms:
10 + 7Y = -5 + 4Y

Solving
10 + 7Y = -5 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
10 + 7Y + -4Y = -5 + 4Y + -4Y

Combine like terms: 7Y + -4Y = 3Y
10 + 3Y = -5 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
10 + 3Y = -5 + 0
10 + 3Y = -5

Add '-10' to each side of the equation.
10 + -10 + 3Y = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 3Y = -5 + -10
3Y = -5 + -10

Combine like terms: -5 + -10 = -15
3Y = -15

Divide each side by '3'.
Y = -5

Simplifying
Y = -5

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