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Simplifying 40 + 4y + -17 = 16y + -12 + -5y Reorder the terms: 40 + -17 + 4y = 16y + -12 + -5y Combine like terms: 40 + -17 = 23 23 + 4y = 16y + -12 + -5y Reorder the terms: 23 + 4y = -12 + 16y + -5y Combine like terms: 16y + -5y = 11y 23 + 4y = -12 + 11y Solving 23 + 4y = -12 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 23 + 4y + -11y = -12 + 11y + -11y Combine like terms: 4y + -11y = -7y 23 + -7y = -12 + 11y + -11y Combine like terms: 11y + -11y = 0 23 + -7y = -12 + 0 23 + -7y = -12 Add '-23' to each side of the equation. 23 + -23 + -7y = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -7y = -12 + -23 -7y = -12 + -23 Combine like terms: -12 + -23 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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