3y+4(2y+1)-(5y-1-5)=9

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Solution for 3y+4(2y+1)-(5y-1-5)=9 equation:


Simplifying
3y + 4(2y + 1) + -1(5y + -1 + -5) = 9

Reorder the terms:
3y + 4(1 + 2y) + -1(5y + -1 + -5) = 9
3y + (1 * 4 + 2y * 4) + -1(5y + -1 + -5) = 9
3y + (4 + 8y) + -1(5y + -1 + -5) = 9

Reorder the terms:
3y + 4 + 8y + -1(-1 + -5 + 5y) = 9

Combine like terms: -1 + -5 = -6
3y + 4 + 8y + -1(-6 + 5y) = 9
3y + 4 + 8y + (-6 * -1 + 5y * -1) = 9
3y + 4 + 8y + (6 + -5y) = 9

Reorder the terms:
4 + 6 + 3y + 8y + -5y = 9

Combine like terms: 4 + 6 = 10
10 + 3y + 8y + -5y = 9

Combine like terms: 3y + 8y = 11y
10 + 11y + -5y = 9

Combine like terms: 11y + -5y = 6y
10 + 6y = 9

Solving
10 + 6y = 9

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 6y = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 6y = 9 + -10
6y = 9 + -10

Combine like terms: 9 + -10 = -1
6y = -1

Divide each side by '6'.
y = -0.1666666667

Simplifying
y = -0.1666666667

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