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Simplifying -42 + -16y + 15 = -33y + 29 + 10y Reorder the terms: -42 + 15 + -16y = -33y + 29 + 10y Combine like terms: -42 + 15 = -27 -27 + -16y = -33y + 29 + 10y Reorder the terms: -27 + -16y = 29 + -33y + 10y Combine like terms: -33y + 10y = -23y -27 + -16y = 29 + -23y Solving -27 + -16y = 29 + -23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23y' to each side of the equation. -27 + -16y + 23y = 29 + -23y + 23y Combine like terms: -16y + 23y = 7y -27 + 7y = 29 + -23y + 23y Combine like terms: -23y + 23y = 0 -27 + 7y = 29 + 0 -27 + 7y = 29 Add '27' to each side of the equation. -27 + 27 + 7y = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 7y = 29 + 27 7y = 29 + 27 Combine like terms: 29 + 27 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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