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Simplifying -40 + 20y + 5 = 6(4y + -2) + -3 Reorder the terms: -40 + 5 + 20y = 6(4y + -2) + -3 Combine like terms: -40 + 5 = -35 -35 + 20y = 6(4y + -2) + -3 Reorder the terms: -35 + 20y = 6(-2 + 4y) + -3 -35 + 20y = (-2 * 6 + 4y * 6) + -3 -35 + 20y = (-12 + 24y) + -3 Reorder the terms: -35 + 20y = -12 + -3 + 24y Combine like terms: -12 + -3 = -15 -35 + 20y = -15 + 24y Solving -35 + 20y = -15 + 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. -35 + 20y + -24y = -15 + 24y + -24y Combine like terms: 20y + -24y = -4y -35 + -4y = -15 + 24y + -24y Combine like terms: 24y + -24y = 0 -35 + -4y = -15 + 0 -35 + -4y = -15 Add '35' to each side of the equation. -35 + 35 + -4y = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -4y = -15 + 35 -4y = -15 + 35 Combine like terms: -15 + 35 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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