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Simplifying -5y + 9 = 4(2y + 3) Reorder the terms: 9 + -5y = 4(2y + 3) Reorder the terms: 9 + -5y = 4(3 + 2y) 9 + -5y = (3 * 4 + 2y * 4) 9 + -5y = (12 + 8y) Solving 9 + -5y = 12 + 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. 9 + -5y + -8y = 12 + 8y + -8y Combine like terms: -5y + -8y = -13y 9 + -13y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + -13y = 12 + 0 9 + -13y = 12 Add '-9' to each side of the equation. 9 + -9 + -13y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -13y = 12 + -9 -13y = 12 + -9 Combine like terms: 12 + -9 = 3 -13y = 3 Divide each side by '-13'. y = -0.2307692308 Simplifying y = -0.2307692308
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