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Simplifying 8y + -40 = -6(y + 2) Reorder the terms: -40 + 8y = -6(y + 2) Reorder the terms: -40 + 8y = -6(2 + y) -40 + 8y = (2 * -6 + y * -6) -40 + 8y = (-12 + -6y) Solving -40 + 8y = -12 + -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. -40 + 8y + 6y = -12 + -6y + 6y Combine like terms: 8y + 6y = 14y -40 + 14y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 -40 + 14y = -12 + 0 -40 + 14y = -12 Add '40' to each side of the equation. -40 + 40 + 14y = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 14y = -12 + 40 14y = -12 + 40 Combine like terms: -12 + 40 = 28 14y = 28 Divide each side by '14'. y = 2 Simplifying y = 2
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