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Simplifying 6y + 3(y + -9) = 4(y + 1) + -3 Reorder the terms: 6y + 3(-9 + y) = 4(y + 1) + -3 6y + (-9 * 3 + y * 3) = 4(y + 1) + -3 6y + (-27 + 3y) = 4(y + 1) + -3 Reorder the terms: -27 + 6y + 3y = 4(y + 1) + -3 Combine like terms: 6y + 3y = 9y -27 + 9y = 4(y + 1) + -3 Reorder the terms: -27 + 9y = 4(1 + y) + -3 -27 + 9y = (1 * 4 + y * 4) + -3 -27 + 9y = (4 + 4y) + -3 Reorder the terms: -27 + 9y = 4 + -3 + 4y Combine like terms: 4 + -3 = 1 -27 + 9y = 1 + 4y Solving -27 + 9y = 1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -27 + 9y + -4y = 1 + 4y + -4y Combine like terms: 9y + -4y = 5y -27 + 5y = 1 + 4y + -4y Combine like terms: 4y + -4y = 0 -27 + 5y = 1 + 0 -27 + 5y = 1 Add '27' to each side of the equation. -27 + 27 + 5y = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 5y = 1 + 27 5y = 1 + 27 Combine like terms: 1 + 27 = 28 5y = 28 Divide each side by '5'. y = 5.6 Simplifying y = 5.6
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