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Simplifying 2(y + 4) = -3y + -7 Reorder the terms: 2(4 + y) = -3y + -7 (4 * 2 + y * 2) = -3y + -7 (8 + 2y) = -3y + -7 Reorder the terms: 8 + 2y = -7 + -3y Solving 8 + 2y = -7 + -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. 8 + 2y + 3y = -7 + -3y + 3y Combine like terms: 2y + 3y = 5y 8 + 5y = -7 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + 5y = -7 + 0 8 + 5y = -7 Add '-8' to each side of the equation. 8 + -8 + 5y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = -7 + -8 5y = -7 + -8 Combine like terms: -7 + -8 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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