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Simplifying 5 + -2(3 + -2y) = 4(6y + -4) + 8 5 + (3 * -2 + -2y * -2) = 4(6y + -4) + 8 5 + (-6 + 4y) = 4(6y + -4) + 8 Combine like terms: 5 + -6 = -1 -1 + 4y = 4(6y + -4) + 8 Reorder the terms: -1 + 4y = 4(-4 + 6y) + 8 -1 + 4y = (-4 * 4 + 6y * 4) + 8 -1 + 4y = (-16 + 24y) + 8 Reorder the terms: -1 + 4y = -16 + 8 + 24y Combine like terms: -16 + 8 = -8 -1 + 4y = -8 + 24y Solving -1 + 4y = -8 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -1 + 4y + -24y = -8 + 24y + -24y Combine like terms: 4y + -24y = -20y -1 + -20y = -8 + 24y + -24y Combine like terms: 24y + -24y = 0 -1 + -20y = -8 + 0 -1 + -20y = -8 Add '1' to each side of the equation. -1 + 1 + -20y = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -20y = -8 + 1 -20y = -8 + 1 Combine like terms: -8 + 1 = -7 -20y = -7 Divide each side by '-20'. y = 0.35 Simplifying y = 0.35
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