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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 = 12y -33 + -15y = 54 + 12y Solving -33 + -15y = 54 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -33 + -15y + -12y = 54 + 12y + -12y Combine like terms: -15y + -12y = -27y -33 + -27y = 54 + 12y + -12y Combine like terms: 12y + -12y = 0 -33 + -27y = 54 + 0 -33 + -27y = 54 Add '33' to each side of the equation. -33 + 33 + -27y = 54 + 33 Combine like terms: -33 + 33 = 0 0 + -27y = 54 + 33 -27y = 54 + 33 Combine like terms: 54 + 33 = 87 -27y = 87 Divide each side by '-27'. y = -3.222222222 Simplifying y = -3.222222222
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