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Simplifying 12 + 15 = 11y + 8 + -10y Combine like terms: 12 + 15 = 27 27 = 11y + 8 + -10y Reorder the terms: 27 = 8 + 11y + -10y Combine like terms: 11y + -10y = 1y 27 = 8 + 1y Solving 27 = 8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 27 + -1y = 8 + 1y + -1y Combine like terms: 1y + -1y = 0 27 + -1y = 8 + 0 27 + -1y = 8 Add '-27' to each side of the equation. 27 + -27 + -1y = 8 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 8 + -27 -1y = 8 + -27 Combine like terms: 8 + -27 = -19 -1y = -19 Divide each side by '-1'. y = 19 Simplifying y = 19
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