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Simplifying 40 = 4y + 6(2y + -4) Reorder the terms: 40 = 4y + 6(-4 + 2y) 40 = 4y + (-4 * 6 + 2y * 6) 40 = 4y + (-24 + 12y) Reorder the terms: 40 = -24 + 4y + 12y Combine like terms: 4y + 12y = 16y 40 = -24 + 16y Solving 40 = -24 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 40 + -16y = -24 + 16y + -16y Combine like terms: 16y + -16y = 0 40 + -16y = -24 + 0 40 + -16y = -24 Add '-40' to each side of the equation. 40 + -40 + -16y = -24 + -40 Combine like terms: 40 + -40 = 0 0 + -16y = -24 + -40 -16y = -24 + -40 Combine like terms: -24 + -40 = -64 -16y = -64 Divide each side by '-16'. y = 4 Simplifying y = 4
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