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Simplifying 3y + -5 = -6(y + 6) Reorder the terms: -5 + 3y = -6(y + 6) Reorder the terms: -5 + 3y = -6(6 + y) -5 + 3y = (6 * -6 + y * -6) -5 + 3y = (-36 + -6y) Solving -5 + 3y = -36 + -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. -5 + 3y + 6y = -36 + -6y + 6y Combine like terms: 3y + 6y = 9y -5 + 9y = -36 + -6y + 6y Combine like terms: -6y + 6y = 0 -5 + 9y = -36 + 0 -5 + 9y = -36 Add '5' to each side of the equation. -5 + 5 + 9y = -36 + 5 Combine like terms: -5 + 5 = 0 0 + 9y = -36 + 5 9y = -36 + 5 Combine like terms: -36 + 5 = -31 9y = -31 Divide each side by '9'. y = -3.444444444 Simplifying y = -3.444444444
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