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Simplifying 2(-4y + -6) = -4[4y + 4(y + -1)] Reorder the terms: 2(-6 + -4y) = -4[4y + 4(y + -1)] (-6 * 2 + -4y * 2) = -4[4y + 4(y + -1)] (-12 + -8y) = -4[4y + 4(y + -1)] Reorder the terms: -12 + -8y = -4[4y + 4(-1 + y)] -12 + -8y = -4[4y + (-1 * 4 + y * 4)] -12 + -8y = -4[4y + (-4 + 4y)] Reorder the terms: -12 + -8y = -4[-4 + 4y + 4y] Combine like terms: 4y + 4y = 8y -12 + -8y = -4[-4 + 8y] -12 + -8y = [-4 * -4 + 8y * -4] -12 + -8y = [16 + -32y] Solving -12 + -8y = 16 + -32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32y' to each side of the equation. -12 + -8y + 32y = 16 + -32y + 32y Combine like terms: -8y + 32y = 24y -12 + 24y = 16 + -32y + 32y Combine like terms: -32y + 32y = 0 -12 + 24y = 16 + 0 -12 + 24y = 16 Add '12' to each side of the equation. -12 + 12 + 24y = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 24y = 16 + 12 24y = 16 + 12 Combine like terms: 16 + 12 = 28 24y = 28 Divide each side by '24'. y = 1.166666667 Simplifying y = 1.166666667
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