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Simplifying 5y + -1(3y + 8) = 3 + -1(7y + -9) Reorder the terms: 5y + -1(8 + 3y) = 3 + -1(7y + -9) 5y + (8 * -1 + 3y * -1) = 3 + -1(7y + -9) 5y + (-8 + -3y) = 3 + -1(7y + -9) Reorder the terms: -8 + 5y + -3y = 3 + -1(7y + -9) Combine like terms: 5y + -3y = 2y -8 + 2y = 3 + -1(7y + -9) Reorder the terms: -8 + 2y = 3 + -1(-9 + 7y) -8 + 2y = 3 + (-9 * -1 + 7y * -1) -8 + 2y = 3 + (9 + -7y) Combine like terms: 3 + 9 = 12 -8 + 2y = 12 + -7y Solving -8 + 2y = 12 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -8 + 2y + 7y = 12 + -7y + 7y Combine like terms: 2y + 7y = 9y -8 + 9y = 12 + -7y + 7y Combine like terms: -7y + 7y = 0 -8 + 9y = 12 + 0 -8 + 9y = 12 Add '8' to each side of the equation. -8 + 8 + 9y = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 12 + 8 9y = 12 + 8 Combine like terms: 12 + 8 = 20 9y = 20 Divide each side by '9'. y = 2.222222222 Simplifying y = 2.222222222
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