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Simplifying -3(y + -4) = -8y + 47 Reorder the terms: -3(-4 + y) = -8y + 47 (-4 * -3 + y * -3) = -8y + 47 (12 + -3y) = -8y + 47 Reorder the terms: 12 + -3y = 47 + -8y Solving 12 + -3y = 47 + -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. 12 + -3y + 8y = 47 + -8y + 8y Combine like terms: -3y + 8y = 5y 12 + 5y = 47 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 5y = 47 + 0 12 + 5y = 47 Add '-12' to each side of the equation. 12 + -12 + 5y = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 47 + -12 5y = 47 + -12 Combine like terms: 47 + -12 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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