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Simplifying 4(2y + 1) = 3(y + -4) Reorder the terms: 4(1 + 2y) = 3(y + -4) (1 * 4 + 2y * 4) = 3(y + -4) (4 + 8y) = 3(y + -4) Reorder the terms: 4 + 8y = 3(-4 + y) 4 + 8y = (-4 * 3 + y * 3) 4 + 8y = (-12 + 3y) Solving 4 + 8y = -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. 4 + 8y + -3y = -12 + 3y + -3y Combine like terms: 8y + -3y = 5y 4 + 5y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 5y = -12 + 0 4 + 5y = -12 Add '-4' to each side of the equation. 4 + -4 + 5y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = -12 + -4 5y = -12 + -4 Combine like terms: -12 + -4 = -16 5y = -16 Divide each side by '5'. y = -3.2 Simplifying y = -3.2
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