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Simplifying 3(3y + -3) + -17 = 6(4y + 1) + -16 Reorder the terms: 3(-3 + 3y) + -17 = 6(4y + 1) + -16 (-3 * 3 + 3y * 3) + -17 = 6(4y + 1) + -16 (-9 + 9y) + -17 = 6(4y + 1) + -16 Reorder the terms: -9 + -17 + 9y = 6(4y + 1) + -16 Combine like terms: -9 + -17 = -26 -26 + 9y = 6(4y + 1) + -16 Reorder the terms: -26 + 9y = 6(1 + 4y) + -16 -26 + 9y = (1 * 6 + 4y * 6) + -16 -26 + 9y = (6 + 24y) + -16 Reorder the terms: -26 + 9y = 6 + -16 + 24y Combine like terms: 6 + -16 = -10 -26 + 9y = -10 + 24y Solving -26 + 9y = -10 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -26 + 9y + -24y = -10 + 24y + -24y Combine like terms: 9y + -24y = -15y -26 + -15y = -10 + 24y + -24y Combine like terms: 24y + -24y = 0 -26 + -15y = -10 + 0 -26 + -15y = -10 Add '26' to each side of the equation. -26 + 26 + -15y = -10 + 26 Combine like terms: -26 + 26 = 0 0 + -15y = -10 + 26 -15y = -10 + 26 Combine like terms: -10 + 26 = 16 -15y = 16 Divide each side by '-15'. y = -1.066666667 Simplifying y = -1.066666667
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