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Simplifying -5y + -22 = -2(y + 8) Reorder the terms: -22 + -5y = -2(y + 8) Reorder the terms: -22 + -5y = -2(8 + y) -22 + -5y = (8 * -2 + y * -2) -22 + -5y = (-16 + -2y) Solving -22 + -5y = -16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -22 + -5y + 2y = -16 + -2y + 2y Combine like terms: -5y + 2y = -3y -22 + -3y = -16 + -2y + 2y Combine like terms: -2y + 2y = 0 -22 + -3y = -16 + 0 -22 + -3y = -16 Add '22' to each side of the equation. -22 + 22 + -3y = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -3y = -16 + 22 -3y = -16 + 22 Combine like terms: -16 + 22 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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