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Simplifying -4(y + 3) = -1(6 + -2y) Reorder the terms: -4(3 + y) = -1(6 + -2y) (3 * -4 + y * -4) = -1(6 + -2y) (-12 + -4y) = -1(6 + -2y) -12 + -4y = (6 * -1 + -2y * -1) -12 + -4y = (-6 + 2y) Solving -12 + -4y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + -4y + -2y = -6 + 2y + -2y Combine like terms: -4y + -2y = -6y -12 + -6y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -6y = -6 + 0 -12 + -6y = -6 Add '12' to each side of the equation. -12 + 12 + -6y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6y = -6 + 12 -6y = -6 + 12 Combine like terms: -6 + 12 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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