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Simplifying -5(3y + 5) + -8 = -9(y + 6) + 3y Reorder the terms: -5(5 + 3y) + -8 = -9(y + 6) + 3y (5 * -5 + 3y * -5) + -8 = -9(y + 6) + 3y (-25 + -15y) + -8 = -9(y + 6) + 3y Reorder the terms: -25 + -8 + -15y = -9(y + 6) + 3y Combine like terms: -25 + -8 = -33 -33 + -15y = -9(y + 6) + 3y Reorder the terms: -33 + -15y = -9(6 + y) + 3y -33 + -15y = (6 * -9 + y * -9) + 3y -33 + -15y = (-54 + -9y) + 3y Combine like terms: -9y + 3y = -6y -33 + -15y = -54 + -6y Solving -33 + -15y = -54 + -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. -33 + -15y + 6y = -54 + -6y + 6y Combine like terms: -15y + 6y = -9y -33 + -9y = -54 + -6y + 6y Combine like terms: -6y + 6y = 0 -33 + -9y = -54 + 0 -33 + -9y = -54 Add '33' to each side of the equation. -33 + 33 + -9y = -54 + 33 Combine like terms: -33 + 33 = 0 0 + -9y = -54 + 33 -9y = -54 + 33 Combine like terms: -54 + 33 = -21 -9y = -21 Divide each side by '-9'. y = 2.333333333 Simplifying y = 2.333333333
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