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Simplifying 3(y + 4) = 8(y + -1) Reorder the terms: 3(4 + y) = 8(y + -1) (4 * 3 + y * 3) = 8(y + -1) (12 + 3y) = 8(y + -1) Reorder the terms: 12 + 3y = 8(-1 + y) 12 + 3y = (-1 * 8 + y * 8) 12 + 3y = (-8 + 8y) Solving 12 + 3y = -8 + 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 = -8 + 8y + -8y Combine like terms: 3y + -8y = -5y 12 + -5y = -8 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -5y = -8 + 0 12 + -5y = -8 Add '-12' to each side of the equation. 12 + -12 + -5y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = -8 + -12 -5y = -8 + -12 Combine like terms: -8 + -12 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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