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Simplifying 6y + (16 + -24) = 4(4 + y) Combine like terms: 16 + -24 = -8 6y + (-8) = 4(4 + y) 6y + -8 = 4(4 + y) Reorder the terms: -8 + 6y = 4(4 + y) -8 + 6y = (4 * 4 + y * 4) -8 + 6y = (16 + 4y) Solving -8 + 6y = 16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + 6y + -4y = 16 + 4y + -4y Combine like terms: 6y + -4y = 2y -8 + 2y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 2y = 16 + 0 -8 + 2y = 16 Add '8' to each side of the equation. -8 + 8 + 2y = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 16 + 8 2y = 16 + 8 Combine like terms: 16 + 8 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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