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Simplifying 8 + -13 = 12y + 3 + -11y Combine like terms: 8 + -13 = -5 -5 = 12y + 3 + -11y Reorder the terms: -5 = 3 + 12y + -11y Combine like terms: 12y + -11y = 1y -5 = 3 + 1y Solving -5 = 3 + 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. -5 + -1y = 3 + 1y + -1y Combine like terms: 1y + -1y = 0 -5 + -1y = 3 + 0 -5 + -1y = 3 Add '5' to each side of the equation. -5 + 5 + -1y = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 3 + 5 -1y = 3 + 5 Combine like terms: 3 + 5 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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