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Simplifying -4y + -2 = -3(2y + 4) Reorder the terms: -2 + -4y = -3(2y + 4) Reorder the terms: -2 + -4y = -3(4 + 2y) -2 + -4y = (4 * -3 + 2y * -3) -2 + -4y = (-12 + -6y) Solving -2 + -4y = -12 + -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. -2 + -4y + 6y = -12 + -6y + 6y Combine like terms: -4y + 6y = 2y -2 + 2y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 -2 + 2y = -12 + 0 -2 + 2y = -12 Add '2' to each side of the equation. -2 + 2 + 2y = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = -12 + 2 2y = -12 + 2 Combine like terms: -12 + 2 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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