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Simplifying 8(y + -5) = 4(y + 36) Reorder the terms: 8(-5 + y) = 4(y + 36) (-5 * 8 + y * 8) = 4(y + 36) (-40 + 8y) = 4(y + 36) Reorder the terms: -40 + 8y = 4(36 + y) -40 + 8y = (36 * 4 + y * 4) -40 + 8y = (144 + 4y) Solving -40 + 8y = 144 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -40 + 8y + -4y = 144 + 4y + -4y Combine like terms: 8y + -4y = 4y -40 + 4y = 144 + 4y + -4y Combine like terms: 4y + -4y = 0 -40 + 4y = 144 + 0 -40 + 4y = 144 Add '40' to each side of the equation. -40 + 40 + 4y = 144 + 40 Combine like terms: -40 + 40 = 0 0 + 4y = 144 + 40 4y = 144 + 40 Combine like terms: 144 + 40 = 184 4y = 184 Divide each side by '4'. y = 46 Simplifying y = 46
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