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Simplifying -3(3y + 5) + -1 = -6(y + 4) + 3y Reorder the terms: -3(5 + 3y) + -1 = -6(y + 4) + 3y (5 * -3 + 3y * -3) + -1 = -6(y + 4) + 3y (-15 + -9y) + -1 = -6(y + 4) + 3y Reorder the terms: -15 + -1 + -9y = -6(y + 4) + 3y Combine like terms: -15 + -1 = -16 -16 + -9y = -6(y + 4) + 3y Reorder the terms: -16 + -9y = -6(4 + y) + 3y -16 + -9y = (4 * -6 + y * -6) + 3y -16 + -9y = (-24 + -6y) + 3y Combine like terms: -6y + 3y = -3y -16 + -9y = -24 + -3y Solving -16 + -9y = -24 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -16 + -9y + 3y = -24 + -3y + 3y Combine like terms: -9y + 3y = -6y -16 + -6y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 -16 + -6y = -24 + 0 -16 + -6y = -24 Add '16' to each side of the equation. -16 + 16 + -6y = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -6y = -24 + 16 -6y = -24 + 16 Combine like terms: -24 + 16 = -8 -6y = -8 Divide each side by '-6'. y = 1.333333333 Simplifying y = 1.333333333
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