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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 = -7y -22 + -7y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 -22 + -7y = 16 + 0 -22 + -7y = 16 Add '22' to each side of the equation. -22 + 22 + -7y = 16 + 22 Combine like terms: -22 + 22 = 0 0 + -7y = 16 + 22 -7y = 16 + 22 Combine like terms: 16 + 22 = 38 -7y = 38 Divide each side by '-7'. y = -5.428571429 Simplifying y = -5.428571429
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