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Simplifying -5 + -16 = 8(3y + 4) + -5(3y + -7) Combine like terms: -5 + -16 = -21 -21 = 8(3y + 4) + -5(3y + -7) Reorder the terms: -21 = 8(4 + 3y) + -5(3y + -7) -21 = (4 * 8 + 3y * 8) + -5(3y + -7) -21 = (32 + 24y) + -5(3y + -7) Reorder the terms: -21 = 32 + 24y + -5(-7 + 3y) -21 = 32 + 24y + (-7 * -5 + 3y * -5) -21 = 32 + 24y + (35 + -15y) Reorder the terms: -21 = 32 + 35 + 24y + -15y Combine like terms: 32 + 35 = 67 -21 = 67 + 24y + -15y Combine like terms: 24y + -15y = 9y -21 = 67 + 9y Solving -21 = 67 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -21 + -9y = 67 + 9y + -9y Combine like terms: 9y + -9y = 0 -21 + -9y = 67 + 0 -21 + -9y = 67 Add '21' to each side of the equation. -21 + 21 + -9y = 67 + 21 Combine like terms: -21 + 21 = 0 0 + -9y = 67 + 21 -9y = 67 + 21 Combine like terms: 67 + 21 = 88 -9y = 88 Divide each side by '-9'. y = -9.777777778 Simplifying y = -9.777777778
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