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Simplifying (2y + -1) + 3y = -3(y + 2) + 9 Reorder the terms: (-1 + 2y) + 3y = -3(y + 2) + 9 Remove parenthesis around (-1 + 2y) -1 + 2y + 3y = -3(y + 2) + 9 Combine like terms: 2y + 3y = 5y -1 + 5y = -3(y + 2) + 9 Reorder the terms: -1 + 5y = -3(2 + y) + 9 -1 + 5y = (2 * -3 + y * -3) + 9 -1 + 5y = (-6 + -3y) + 9 Reorder the terms: -1 + 5y = -6 + 9 + -3y Combine like terms: -6 + 9 = 3 -1 + 5y = 3 + -3y Solving -1 + 5y = 3 + -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. -1 + 5y + 3y = 3 + -3y + 3y Combine like terms: 5y + 3y = 8y -1 + 8y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 8y = 3 + 0 -1 + 8y = 3 Add '1' to each side of the equation. -1 + 1 + 8y = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 8y = 3 + 1 8y = 3 + 1 Combine like terms: 3 + 1 = 4 8y = 4 Divide each side by '8'. y = 0.5 Simplifying y = 0.5
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