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Simplifying 5 + 2(4y + -9) = 2y + 11 Reorder the terms: 5 + 2(-9 + 4y) = 2y + 11 5 + (-9 * 2 + 4y * 2) = 2y + 11 5 + (-18 + 8y) = 2y + 11 Combine like terms: 5 + -18 = -13 -13 + 8y = 2y + 11 Reorder the terms: -13 + 8y = 11 + 2y Solving -13 + 8y = 11 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -13 + 8y + -2y = 11 + 2y + -2y Combine like terms: 8y + -2y = 6y -13 + 6y = 11 + 2y + -2y Combine like terms: 2y + -2y = 0 -13 + 6y = 11 + 0 -13 + 6y = 11 Add '13' to each side of the equation. -13 + 13 + 6y = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 6y = 11 + 13 6y = 11 + 13 Combine like terms: 11 + 13 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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