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Simplifying -3(-2y + -4) = 4(6y + -2) + 2y Reorder the terms: -3(-4 + -2y) = 4(6y + -2) + 2y (-4 * -3 + -2y * -3) = 4(6y + -2) + 2y (12 + 6y) = 4(6y + -2) + 2y Reorder the terms: 12 + 6y = 4(-2 + 6y) + 2y 12 + 6y = (-2 * 4 + 6y * 4) + 2y 12 + 6y = (-8 + 24y) + 2y Combine like terms: 24y + 2y = 26y 12 + 6y = -8 + 26y Solving 12 + 6y = -8 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. 12 + 6y + -26y = -8 + 26y + -26y Combine like terms: 6y + -26y = -20y 12 + -20y = -8 + 26y + -26y Combine like terms: 26y + -26y = 0 12 + -20y = -8 + 0 12 + -20y = -8 Add '-12' to each side of the equation. 12 + -12 + -20y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -20y = -8 + -12 -20y = -8 + -12 Combine like terms: -8 + -12 = -20 -20y = -20 Divide each side by '-20'. y = 1 Simplifying y = 1
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