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Simplifying 8(y + -2) = 2(3y + 4) Reorder the terms: 8(-2 + y) = 2(3y + 4) (-2 * 8 + y * 8) = 2(3y + 4) (-16 + 8y) = 2(3y + 4) Reorder the terms: -16 + 8y = 2(4 + 3y) -16 + 8y = (4 * 2 + 3y * 2) -16 + 8y = (8 + 6y) Solving -16 + 8y = 8 + 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. -16 + 8y + -6y = 8 + 6y + -6y Combine like terms: 8y + -6y = 2y -16 + 2y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 -16 + 2y = 8 + 0 -16 + 2y = 8 Add '16' to each side of the equation. -16 + 16 + 2y = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 8 + 16 2y = 8 + 16 Combine like terms: 8 + 16 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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