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Simplifying 4h + (y + -6) = 8(H + -5) Reorder the terms: 4h + (-6 + y) = 8(H + -5) Remove parenthesis around (-6 + y) 4h + -6 + y = 8(H + -5) Reorder the terms: -6 + 4h + y = 8(H + -5) Reorder the terms: -6 + 4h + y = 8(-5 + H) -6 + 4h + y = (-5 * 8 + H * 8) -6 + 4h + y = (-40 + 8H) Solving -6 + 4h + y = -40 + 8H Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4h + 6 + y = -40 + 6 + 8H Reorder the terms: -6 + 6 + 4h + y = -40 + 6 + 8H Combine like terms: -6 + 6 = 0 0 + 4h + y = -40 + 6 + 8H 4h + y = -40 + 6 + 8H Combine like terms: -40 + 6 = -34 4h + y = -34 + 8H Add '-1y' to each side of the equation. 4h + y + -1y = -34 + 8H + -1y Combine like terms: y + -1y = 0 4h + 0 = -34 + 8H + -1y 4h = -34 + 8H + -1y Divide each side by '4'. h = -8.5 + 2H + -0.25y Simplifying h = -8.5 + 2H + -0.25y
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