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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 = -21 13y = -21 Divide each side by '13'. y = -1.615384615 Simplifying y = -1.615384615
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