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Simplifying 1y + -5 = 3 + -9(1y + 2) Reorder the terms: -5 + 1y = 3 + -9(1y + 2) Reorder the terms: -5 + 1y = 3 + -9(2 + 1y) -5 + 1y = 3 + (2 * -9 + 1y * -9) -5 + 1y = 3 + (-18 + -9y) Combine like terms: 3 + -18 = -15 -5 + 1y = -15 + -9y Solving -5 + 1y = -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. -5 + 1y + 9y = -15 + -9y + 9y Combine like terms: 1y + 9y = 10y -5 + 10y = -15 + -9y + 9y Combine like terms: -9y + 9y = 0 -5 + 10y = -15 + 0 -5 + 10y = -15 Add '5' to each side of the equation. -5 + 5 + 10y = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 10y = -15 + 5 10y = -15 + 5 Combine like terms: -15 + 5 = -10 10y = -10 Divide each side by '10'. y = -1 Simplifying y = -1
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