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Simplifying -33 + -14y + 16 = -30y + 100 + 7y Reorder the terms: -33 + 16 + -14y = -30y + 100 + 7y Combine like terms: -33 + 16 = -17 -17 + -14y = -30y + 100 + 7y Reorder the terms: -17 + -14y = 100 + -30y + 7y Combine like terms: -30y + 7y = -23y -17 + -14y = 100 + -23y Solving -17 + -14y = 100 + -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. -17 + -14y + 23y = 100 + -23y + 23y Combine like terms: -14y + 23y = 9y -17 + 9y = 100 + -23y + 23y Combine like terms: -23y + 23y = 0 -17 + 9y = 100 + 0 -17 + 9y = 100 Add '17' to each side of the equation. -17 + 17 + 9y = 100 + 17 Combine like terms: -17 + 17 = 0 0 + 9y = 100 + 17 9y = 100 + 17 Combine like terms: 100 + 17 = 117 9y = 117 Divide each side by '9'. y = 13 Simplifying y = 13
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