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Simplifying 8 = 3y + -2(y + 4) Reorder the terms: 8 = 3y + -2(4 + y) 8 = 3y + (4 * -2 + y * -2) 8 = 3y + (-8 + -2y) Reorder the terms: 8 = -8 + 3y + -2y Combine like terms: 3y + -2y = 1y 8 = -8 + 1y Solving 8 = -8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 8 + -1y = -8 + 1y + -1y Combine like terms: 1y + -1y = 0 8 + -1y = -8 + 0 8 + -1y = -8 Add '-8' to each side of the equation. 8 + -8 + -1y = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -8 + -8 -1y = -8 + -8 Combine like terms: -8 + -8 = -16 -1y = -16 Divide each side by '-1'. y = 16 Simplifying y = 16
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