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Simplifying 54 + 4y + -23 = 15y + -11 + -4y Reorder the terms: 54 + -23 + 4y = 15y + -11 + -4y Combine like terms: 54 + -23 = 31 31 + 4y = 15y + -11 + -4y Reorder the terms: 31 + 4y = -11 + 15y + -4y Combine like terms: 15y + -4y = 11y 31 + 4y = -11 + 11y Solving 31 + 4y = -11 + 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. 31 + 4y + -11y = -11 + 11y + -11y Combine like terms: 4y + -11y = -7y 31 + -7y = -11 + 11y + -11y Combine like terms: 11y + -11y = 0 31 + -7y = -11 + 0 31 + -7y = -11 Add '-31' to each side of the equation. 31 + -31 + -7y = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -7y = -11 + -31 -7y = -11 + -31 Combine like terms: -11 + -31 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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