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Simplifying 8y + -1(3 + 2y) = 3y + 1 8y + (3 * -1 + 2y * -1) = 3y + 1 8y + (-3 + -2y) = 3y + 1 Reorder the terms: -3 + 8y + -2y = 3y + 1 Combine like terms: 8y + -2y = 6y -3 + 6y = 3y + 1 Reorder the terms: -3 + 6y = 1 + 3y Solving -3 + 6y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -3 + 6y + -3y = 1 + 3y + -3y Combine like terms: 6y + -3y = 3y -3 + 3y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -3 + 3y = 1 + 0 -3 + 3y = 1 Add '3' to each side of the equation. -3 + 3 + 3y = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 1 + 3 3y = 1 + 3 Combine like terms: 1 + 3 = 4 3y = 4 Divide each side by '3'. y = 1.333333333 Simplifying y = 1.333333333
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