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Simplifying 16 + -5(3y + -4) = 8(-2y + 11) Reorder the terms: 16 + -5(-4 + 3y) = 8(-2y + 11) 16 + (-4 * -5 + 3y * -5) = 8(-2y + 11) 16 + (20 + -15y) = 8(-2y + 11) Combine like terms: 16 + 20 = 36 36 + -15y = 8(-2y + 11) Reorder the terms: 36 + -15y = 8(11 + -2y) 36 + -15y = (11 * 8 + -2y * 8) 36 + -15y = (88 + -16y) Solving 36 + -15y = 88 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 36 + -15y + 16y = 88 + -16y + 16y Combine like terms: -15y + 16y = 1y 36 + 1y = 88 + -16y + 16y Combine like terms: -16y + 16y = 0 36 + 1y = 88 + 0 36 + 1y = 88 Add '-36' to each side of the equation. 36 + -36 + 1y = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1y = 88 + -36 1y = 88 + -36 Combine like terms: 88 + -36 = 52 1y = 52 Divide each side by '1'. y = 52 Simplifying y = 52
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