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Simplifying -5 + 13y + 10 = 14 + 16y + -24 Reorder the terms: -5 + 10 + 13y = 14 + 16y + -24 Combine like terms: -5 + 10 = 5 5 + 13y = 14 + 16y + -24 Reorder the terms: 5 + 13y = 14 + -24 + 16y Combine like terms: 14 + -24 = -10 5 + 13y = -10 + 16y Solving 5 + 13y = -10 + 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. 5 + 13y + -16y = -10 + 16y + -16y Combine like terms: 13y + -16y = -3y 5 + -3y = -10 + 16y + -16y Combine like terms: 16y + -16y = 0 5 + -3y = -10 + 0 5 + -3y = -10 Add '-5' to each side of the equation. 5 + -5 + -3y = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -10 + -5 -3y = -10 + -5 Combine like terms: -10 + -5 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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