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Simplifying 8y + -3(4 + -2y) = 6(y + -1) 8y + (4 * -3 + -2y * -3) = 6(y + -1) 8y + (-12 + 6y) = 6(y + -1) Reorder the terms: -12 + 8y + 6y = 6(y + -1) Combine like terms: 8y + 6y = 14y -12 + 14y = 6(y + -1) Reorder the terms: -12 + 14y = 6(-1 + y) -12 + 14y = (-1 * 6 + y * 6) -12 + 14y = (-6 + 6y) Solving -12 + 14y = -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. -12 + 14y + -6y = -6 + 6y + -6y Combine like terms: 14y + -6y = 8y -12 + 8y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 8y = -6 + 0 -12 + 8y = -6 Add '12' to each side of the equation. -12 + 12 + 8y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = -6 + 12 8y = -6 + 12 Combine like terms: -6 + 12 = 6 8y = 6 Divide each side by '8'. y = 0.75 Simplifying y = 0.75
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