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Simplifying 2y + 23 = -3(y + 4) Reorder the terms: 23 + 2y = -3(y + 4) Reorder the terms: 23 + 2y = -3(4 + y) 23 + 2y = (4 * -3 + y * -3) 23 + 2y = (-12 + -3y) Solving 23 + 2y = -12 + -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. 23 + 2y + 3y = -12 + -3y + 3y Combine like terms: 2y + 3y = 5y 23 + 5y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 23 + 5y = -12 + 0 23 + 5y = -12 Add '-23' to each side of the equation. 23 + -23 + 5y = -12 + -23 Combine like terms: 23 + -23 = 0 0 + 5y = -12 + -23 5y = -12 + -23 Combine like terms: -12 + -23 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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