(4Y+1)-(-3Y-7)=3

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Solution for (4Y+1)-(-3Y-7)=3 equation:


Simplifying
(4Y + 1) + -1(-3Y + -7) = 3

Reorder the terms:
(1 + 4Y) + -1(-3Y + -7) = 3

Remove parenthesis around (1 + 4Y)
1 + 4Y + -1(-3Y + -7) = 3

Reorder the terms:
1 + 4Y + -1(-7 + -3Y) = 3
1 + 4Y + (-7 * -1 + -3Y * -1) = 3
1 + 4Y + (7 + 3Y) = 3

Reorder the terms:
1 + 7 + 4Y + 3Y = 3

Combine like terms: 1 + 7 = 8
8 + 4Y + 3Y = 3

Combine like terms: 4Y + 3Y = 7Y
8 + 7Y = 3

Solving
8 + 7Y = 3

Solving for variable 'Y'.

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

Add '-8' to each side of the equation.
8 + -8 + 7Y = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 7Y = 3 + -8
7Y = 3 + -8

Combine like terms: 3 + -8 = -5
7Y = -5

Divide each side by '7'.
Y = -0.7142857143

Simplifying
Y = -0.7142857143

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