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Simplifying 10y + -12 = 5(2y + 3) + -1y Reorder the terms: -12 + 10y = 5(2y + 3) + -1y Reorder the terms: -12 + 10y = 5(3 + 2y) + -1y -12 + 10y = (3 * 5 + 2y * 5) + -1y -12 + 10y = (15 + 10y) + -1y Combine like terms: 10y + -1y = 9y -12 + 10y = 15 + 9y Solving -12 + 10y = 15 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -12 + 10y + -9y = 15 + 9y + -9y Combine like terms: 10y + -9y = 1y -12 + 1y = 15 + 9y + -9y Combine like terms: 9y + -9y = 0 -12 + 1y = 15 + 0 -12 + 1y = 15 Add '12' to each side of the equation. -12 + 12 + 1y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 15 + 12 1y = 15 + 12 Combine like terms: 15 + 12 = 27 1y = 27 Divide each side by '1'. y = 27 Simplifying y = 27
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