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Simplifying 5y + 4 = -2(y + 3) Reorder the terms: 4 + 5y = -2(y + 3) Reorder the terms: 4 + 5y = -2(3 + y) 4 + 5y = (3 * -2 + y * -2) 4 + 5y = (-6 + -2y) Solving 4 + 5y = -6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + 5y + 2y = -6 + -2y + 2y Combine like terms: 5y + 2y = 7y 4 + 7y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 7y = -6 + 0 4 + 7y = -6 Add '-4' to each side of the equation. 4 + -4 + 7y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = -6 + -4 7y = -6 + -4 Combine like terms: -6 + -4 = -10 7y = -10 Divide each side by '7'. y = -1.428571429 Simplifying y = -1.428571429
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