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Simplifying -3(y + 4) = -5y + -6 Reorder the terms: -3(4 + y) = -5y + -6 (4 * -3 + y * -3) = -5y + -6 (-12 + -3y) = -5y + -6 Reorder the terms: -12 + -3y = -6 + -5y Solving -12 + -3y = -6 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -12 + -3y + 5y = -6 + -5y + 5y Combine like terms: -3y + 5y = 2y -12 + 2y = -6 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 2y = -6 + 0 -12 + 2y = -6 Add '12' to each side of the equation. -12 + 12 + 2y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -6 + 12 2y = -6 + 12 Combine like terms: -6 + 12 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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