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Simplifying -5(y + 8) = -3y + -22 Reorder the terms: -5(8 + y) = -3y + -22 (8 * -5 + y * -5) = -3y + -22 (-40 + -5y) = -3y + -22 Reorder the terms: -40 + -5y = -22 + -3y Solving -40 + -5y = -22 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -40 + -5y + 3y = -22 + -3y + 3y Combine like terms: -5y + 3y = -2y -40 + -2y = -22 + -3y + 3y Combine like terms: -3y + 3y = 0 -40 + -2y = -22 + 0 -40 + -2y = -22 Add '40' to each side of the equation. -40 + 40 + -2y = -22 + 40 Combine like terms: -40 + 40 = 0 0 + -2y = -22 + 40 -2y = -22 + 40 Combine like terms: -22 + 40 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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