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Simplifying 7 + -13 = 10y + 12 + -9y Combine like terms: 7 + -13 = -6 -6 = 10y + 12 + -9y Reorder the terms: -6 = 12 + 10y + -9y Combine like terms: 10y + -9y = 1y -6 = 12 + 1y Solving -6 = 12 + 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. -6 + -1y = 12 + 1y + -1y Combine like terms: 1y + -1y = 0 -6 + -1y = 12 + 0 -6 + -1y = 12 Add '6' to each side of the equation. -6 + 6 + -1y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 12 + 6 -1y = 12 + 6 Combine like terms: 12 + 6 = 18 -1y = 18 Divide each side by '-1'. y = -18 Simplifying y = -18
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