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Simplifying 8(y + -4) = 6y + -40 Reorder the terms: 8(-4 + y) = 6y + -40 (-4 * 8 + y * 8) = 6y + -40 (-32 + 8y) = 6y + -40 Reorder the terms: -32 + 8y = -40 + 6y Solving -32 + 8y = -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. -32 + 8y + -6y = -40 + 6y + -6y Combine like terms: 8y + -6y = 2y -32 + 2y = -40 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + 2y = -40 + 0 -32 + 2y = -40 Add '32' to each side of the equation. -32 + 32 + 2y = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -40 + 32 2y = -40 + 32 Combine like terms: -40 + 32 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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