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Simplifying 5y + 9 + -2y = 2(2y + 3) Reorder the terms: 9 + 5y + -2y = 2(2y + 3) Combine like terms: 5y + -2y = 3y 9 + 3y = 2(2y + 3) Reorder the terms: 9 + 3y = 2(3 + 2y) 9 + 3y = (3 * 2 + 2y * 2) 9 + 3y = (6 + 4y) Solving 9 + 3y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 9 + 3y + -4y = 6 + 4y + -4y Combine like terms: 3y + -4y = -1y 9 + -1y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 9 + -1y = 6 + 0 9 + -1y = 6 Add '-9' to each side of the equation. 9 + -9 + -1y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 6 + -9 -1y = 6 + -9 Combine like terms: 6 + -9 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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