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Simplifying 23 + 2y + -8 = 11y + -13 + -5y Reorder the terms: 23 + -8 + 2y = 11y + -13 + -5y Combine like terms: 23 + -8 = 15 15 + 2y = 11y + -13 + -5y Reorder the terms: 15 + 2y = -13 + 11y + -5y Combine like terms: 11y + -5y = 6y 15 + 2y = -13 + 6y Solving 15 + 2y = -13 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 15 + 2y + -6y = -13 + 6y + -6y Combine like terms: 2y + -6y = -4y 15 + -4y = -13 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -4y = -13 + 0 15 + -4y = -13 Add '-15' to each side of the equation. 15 + -15 + -4y = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = -13 + -15 -4y = -13 + -15 Combine like terms: -13 + -15 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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