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Simplifying -2y + 8 = 3(2y + 8) Reorder the terms: 8 + -2y = 3(2y + 8) Reorder the terms: 8 + -2y = 3(8 + 2y) 8 + -2y = (8 * 3 + 2y * 3) 8 + -2y = (24 + 6y) Solving 8 + -2y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + -2y + -6y = 24 + 6y + -6y Combine like terms: -2y + -6y = -8y 8 + -8y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + -8y = 24 + 0 8 + -8y = 24 Add '-8' to each side of the equation. 8 + -8 + -8y = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = 24 + -8 -8y = 24 + -8 Combine like terms: 24 + -8 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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