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Simplifying 6(4y + -3) = 4(5y + -4) + -5 Reorder the terms: 6(-3 + 4y) = 4(5y + -4) + -5 (-3 * 6 + 4y * 6) = 4(5y + -4) + -5 (-18 + 24y) = 4(5y + -4) + -5 Reorder the terms: -18 + 24y = 4(-4 + 5y) + -5 -18 + 24y = (-4 * 4 + 5y * 4) + -5 -18 + 24y = (-16 + 20y) + -5 Reorder the terms: -18 + 24y = -16 + -5 + 20y Combine like terms: -16 + -5 = -21 -18 + 24y = -21 + 20y Solving -18 + 24y = -21 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -18 + 24y + -20y = -21 + 20y + -20y Combine like terms: 24y + -20y = 4y -18 + 4y = -21 + 20y + -20y Combine like terms: 20y + -20y = 0 -18 + 4y = -21 + 0 -18 + 4y = -21 Add '18' to each side of the equation. -18 + 18 + 4y = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = -21 + 18 4y = -21 + 18 Combine like terms: -21 + 18 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75
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