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Simplifying 5y + 2(3y + -14) = -3(y + 8) + 9y Reorder the terms: 5y + 2(-14 + 3y) = -3(y + 8) + 9y 5y + (-14 * 2 + 3y * 2) = -3(y + 8) + 9y 5y + (-28 + 6y) = -3(y + 8) + 9y Reorder the terms: -28 + 5y + 6y = -3(y + 8) + 9y Combine like terms: 5y + 6y = 11y -28 + 11y = -3(y + 8) + 9y Reorder the terms: -28 + 11y = -3(8 + y) + 9y -28 + 11y = (8 * -3 + y * -3) + 9y -28 + 11y = (-24 + -3y) + 9y Combine like terms: -3y + 9y = 6y -28 + 11y = -24 + 6y Solving -28 + 11y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -28 + 11y + -6y = -24 + 6y + -6y Combine like terms: 11y + -6y = 5y -28 + 5y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 -28 + 5y = -24 + 0 -28 + 5y = -24 Add '28' to each side of the equation. -28 + 28 + 5y = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 5y = -24 + 28 5y = -24 + 28 Combine like terms: -24 + 28 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8
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