(3x+4y)-3x=5-(6y+6)

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Solution for (3x+4y)-3x=5-(6y+6) equation:


Simplifying
(3x + 4y) + -3x = 5 + -1(6y + 6)

Remove parenthesis around (3x + 4y)
3x + 4y + -3x = 5 + -1(6y + 6)

Reorder the terms:
3x + -3x + 4y = 5 + -1(6y + 6)

Combine like terms: 3x + -3x = 0
0 + 4y = 5 + -1(6y + 6)
4y = 5 + -1(6y + 6)

Reorder the terms:
4y = 5 + -1(6 + 6y)
4y = 5 + (6 * -1 + 6y * -1)
4y = 5 + (-6 + -6y)

Combine like terms: 5 + -6 = -1
4y = -1 + -6y

Solving
4y = -1 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
4y + 6y = -1 + -6y + 6y

Combine like terms: 4y + 6y = 10y
10y = -1 + -6y + 6y

Combine like terms: -6y + 6y = 0
10y = -1 + 0
10y = -1

Divide each side by '10'.
y = -0.1

Simplifying
y = -0.1

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