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Simplifying -2(5y + -4) = 6y + 40 Reorder the terms: -2(-4 + 5y) = 6y + 40 (-4 * -2 + 5y * -2) = 6y + 40 (8 + -10y) = 6y + 40 Reorder the terms: 8 + -10y = 40 + 6y Solving 8 + -10y = 40 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + -10y + -6y = 40 + 6y + -6y Combine like terms: -10y + -6y = -16y 8 + -16y = 40 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + -16y = 40 + 0 8 + -16y = 40 Add '-8' to each side of the equation. 8 + -8 + -16y = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -16y = 40 + -8 -16y = 40 + -8 Combine like terms: 40 + -8 = 32 -16y = 32 Divide each side by '-16'. y = -2 Simplifying y = -2
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