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Simplifying -5(y + 8) = -4y + -3 Reorder the terms: -5(8 + y) = -4y + -3 (8 * -5 + y * -5) = -4y + -3 (-40 + -5y) = -4y + -3 Reorder the terms: -40 + -5y = -3 + -4y Solving -40 + -5y = -3 + -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 + -5y + 4y = -3 + -4y + 4y Combine like terms: -5y + 4y = -1y -40 + -1y = -3 + -4y + 4y Combine like terms: -4y + 4y = 0 -40 + -1y = -3 + 0 -40 + -1y = -3 Add '40' to each side of the equation. -40 + 40 + -1y = -3 + 40 Combine like terms: -40 + 40 = 0 0 + -1y = -3 + 40 -1y = -3 + 40 Combine like terms: -3 + 40 = 37 -1y = 37 Divide each side by '-1'. y = -37 Simplifying y = -37
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