(4y+3)-(-3y-5)=1

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Solution for (4y+3)-(-3y-5)=1 equation:


Simplifying
(4y + 3) + -1(-3y + -5) = 1

Reorder the terms:
(3 + 4y) + -1(-3y + -5) = 1

Remove parenthesis around (3 + 4y)
3 + 4y + -1(-3y + -5) = 1

Reorder the terms:
3 + 4y + -1(-5 + -3y) = 1
3 + 4y + (-5 * -1 + -3y * -1) = 1
3 + 4y + (5 + 3y) = 1

Reorder the terms:
3 + 5 + 4y + 3y = 1

Combine like terms: 3 + 5 = 8
8 + 4y + 3y = 1

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

Solving
8 + 7y = 1

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 = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 1 + -8
7y = 1 + -8

Combine like terms: 1 + -8 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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