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Simplifying 8(y + -5) + 6(y + 2) = 84 Reorder the terms: 8(-5 + y) + 6(y + 2) = 84 (-5 * 8 + y * 8) + 6(y + 2) = 84 (-40 + 8y) + 6(y + 2) = 84 Reorder the terms: -40 + 8y + 6(2 + y) = 84 -40 + 8y + (2 * 6 + y * 6) = 84 -40 + 8y + (12 + 6y) = 84 Reorder the terms: -40 + 12 + 8y + 6y = 84 Combine like terms: -40 + 12 = -28 -28 + 8y + 6y = 84 Combine like terms: 8y + 6y = 14y -28 + 14y = 84 Solving -28 + 14y = 84 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 14y = 84 + 28 Combine like terms: -28 + 28 = 0 0 + 14y = 84 + 28 14y = 84 + 28 Combine like terms: 84 + 28 = 112 14y = 112 Divide each side by '14'. y = 8 Simplifying y = 8
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