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Simplifying 8(y + -1) = 2(3y + 4) Reorder the terms: 8(-1 + y) = 2(3y + 4) (-1 * 8 + y * 8) = 2(3y + 4) (-8 + 8y) = 2(3y + 4) Reorder the terms: -8 + 8y = 2(4 + 3y) -8 + 8y = (4 * 2 + 3y * 2) -8 + 8y = (8 + 6y) Solving -8 + 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. -8 + 8y + -6y = 8 + 6y + -6y Combine like terms: 8y + -6y = 2y -8 + 2y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 2y = 8 + 0 -8 + 2y = 8 Add '8' to each side of the equation. -8 + 8 + 2y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 8 + 8 2y = 8 + 8 Combine like terms: 8 + 8 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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