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Simplifying 8y + -3(4 + -2y) = 6(y + 1) + -2 8y + (4 * -3 + -2y * -3) = 6(y + 1) + -2 8y + (-12 + 6y) = 6(y + 1) + -2 Reorder the terms: -12 + 8y + 6y = 6(y + 1) + -2 Combine like terms: 8y + 6y = 14y -12 + 14y = 6(y + 1) + -2 Reorder the terms: -12 + 14y = 6(1 + y) + -2 -12 + 14y = (1 * 6 + y * 6) + -2 -12 + 14y = (6 + 6y) + -2 Reorder the terms: -12 + 14y = 6 + -2 + 6y Combine like terms: 6 + -2 = 4 -12 + 14y = 4 + 6y Solving -12 + 14y = 4 + 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. -12 + 14y + -6y = 4 + 6y + -6y Combine like terms: 14y + -6y = 8y -12 + 8y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 8y = 4 + 0 -12 + 8y = 4 Add '12' to each side of the equation. -12 + 12 + 8y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 4 + 12 8y = 4 + 12 Combine like terms: 4 + 12 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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