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Simplifying 8 + -10 = 12y + -7 + -11y Combine like terms: 8 + -10 = -2 -2 = 12y + -7 + -11y Reorder the terms: -2 = -7 + 12y + -11y Combine like terms: 12y + -11y = 1y -2 = -7 + 1y Solving -2 = -7 + 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. -2 + -1y = -7 + 1y + -1y Combine like terms: 1y + -1y = 0 -2 + -1y = -7 + 0 -2 + -1y = -7 Add '2' to each side of the equation. -2 + 2 + -1y = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = -7 + 2 -1y = -7 + 2 Combine like terms: -7 + 2 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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