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Simplifying 3y + 5 = 2(y + -8) Reorder the terms: 5 + 3y = 2(y + -8) Reorder the terms: 5 + 3y = 2(-8 + y) 5 + 3y = (-8 * 2 + y * 2) 5 + 3y = (-16 + 2y) Solving 5 + 3y = -16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5 + 3y + -2y = -16 + 2y + -2y Combine like terms: 3y + -2y = 1y 5 + 1y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 1y = -16 + 0 5 + 1y = -16 Add '-5' to each side of the equation. 5 + -5 + 1y = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = -16 + -5 1y = -16 + -5 Combine like terms: -16 + -5 = -21 1y = -21 Divide each side by '1'. y = -21 Simplifying y = -21
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