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Simplifying -5 + -16 = 8(2y + 4) + -5(3y + -7) Combine like terms: -5 + -16 = -21 -21 = 8(2y + 4) + -5(3y + -7) Reorder the terms: -21 = 8(4 + 2y) + -5(3y + -7) -21 = (4 * 8 + 2y * 8) + -5(3y + -7) -21 = (32 + 16y) + -5(3y + -7) Reorder the terms: -21 = 32 + 16y + -5(-7 + 3y) -21 = 32 + 16y + (-7 * -5 + 3y * -5) -21 = 32 + 16y + (35 + -15y) Reorder the terms: -21 = 32 + 35 + 16y + -15y Combine like terms: 32 + 35 = 67 -21 = 67 + 16y + -15y Combine like terms: 16y + -15y = 1y -21 = 67 + 1y Solving -21 = 67 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -21 + -1y = 67 + 1y + -1y Combine like terms: 1y + -1y = 0 -21 + -1y = 67 + 0 -21 + -1y = 67 Add '21' to each side of the equation. -21 + 21 + -1y = 67 + 21 Combine like terms: -21 + 21 = 0 0 + -1y = 67 + 21 -1y = 67 + 21 Combine like terms: 67 + 21 = 88 -1y = 88 Divide each side by '-1'. y = -88 Simplifying y = -88
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