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Simplifying 5y + -7y + -1(3y + 6) = 16y + -3(8y + -9) Reorder the terms: 5y + -7y + -1(6 + 3y) = 16y + -3(8y + -9) 5y + -7y + (6 * -1 + 3y * -1) = 16y + -3(8y + -9) 5y + -7y + (-6 + -3y) = 16y + -3(8y + -9) Reorder the terms: -6 + 5y + -7y + -3y = 16y + -3(8y + -9) Combine like terms: 5y + -7y = -2y -6 + -2y + -3y = 16y + -3(8y + -9) Combine like terms: -2y + -3y = -5y -6 + -5y = 16y + -3(8y + -9) Reorder the terms: -6 + -5y = 16y + -3(-9 + 8y) -6 + -5y = 16y + (-9 * -3 + 8y * -3) -6 + -5y = 16y + (27 + -24y) Reorder the terms: -6 + -5y = 27 + 16y + -24y Combine like terms: 16y + -24y = -8y -6 + -5y = 27 + -8y Solving -6 + -5y = 27 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -6 + -5y + 8y = 27 + -8y + 8y Combine like terms: -5y + 8y = 3y -6 + 3y = 27 + -8y + 8y Combine like terms: -8y + 8y = 0 -6 + 3y = 27 + 0 -6 + 3y = 27 Add '6' to each side of the equation. -6 + 6 + 3y = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 27 + 6 3y = 27 + 6 Combine like terms: 27 + 6 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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