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Simplifying 7y + -11 + 3(y + 1) = 9y + -1 Reorder the terms: 7y + -11 + 3(1 + y) = 9y + -1 7y + -11 + (1 * 3 + y * 3) = 9y + -1 7y + -11 + (3 + 3y) = 9y + -1 Reorder the terms: -11 + 3 + 7y + 3y = 9y + -1 Combine like terms: -11 + 3 = -8 -8 + 7y + 3y = 9y + -1 Combine like terms: 7y + 3y = 10y -8 + 10y = 9y + -1 Reorder the terms: -8 + 10y = -1 + 9y Solving -8 + 10y = -1 + 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. -8 + 10y + -9y = -1 + 9y + -9y Combine like terms: 10y + -9y = 1y -8 + 1y = -1 + 9y + -9y Combine like terms: 9y + -9y = 0 -8 + 1y = -1 + 0 -8 + 1y = -1 Add '8' to each side of the equation. -8 + 8 + 1y = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = -1 + 8 1y = -1 + 8 Combine like terms: -1 + 8 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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