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Simplifying 6(4y + -2) = 5(4y + -1) Reorder the terms: 6(-2 + 4y) = 5(4y + -1) (-2 * 6 + 4y * 6) = 5(4y + -1) (-12 + 24y) = 5(4y + -1) Reorder the terms: -12 + 24y = 5(-1 + 4y) -12 + 24y = (-1 * 5 + 4y * 5) -12 + 24y = (-5 + 20y) Solving -12 + 24y = -5 + 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. -12 + 24y + -20y = -5 + 20y + -20y Combine like terms: 24y + -20y = 4y -12 + 4y = -5 + 20y + -20y Combine like terms: 20y + -20y = 0 -12 + 4y = -5 + 0 -12 + 4y = -5 Add '12' to each side of the equation. -12 + 12 + 4y = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = -5 + 12 4y = -5 + 12 Combine like terms: -5 + 12 = 7 4y = 7 Divide each side by '4'. y = 1.75 Simplifying y = 1.75
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