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Simplifying 8y + -3(4 + -2) = 6(y + 1) Combine like terms: 4 + -2 = 2 8y + -3(2) = 6(y + 1) Multiply -3 * 2 8y + -6 = 6(y + 1) Reorder the terms: -6 + 8y = 6(y + 1) Reorder the terms: -6 + 8y = 6(1 + y) -6 + 8y = (1 * 6 + y * 6) -6 + 8y = (6 + 6y) Solving -6 + 8y = 6 + 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. -6 + 8y + -6y = 6 + 6y + -6y Combine like terms: 8y + -6y = 2y -6 + 2y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 2y = 6 + 0 -6 + 2y = 6 Add '6' to each side of the equation. -6 + 6 + 2y = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 6 + 6 2y = 6 + 6 Combine like terms: 6 + 6 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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