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Simplifying -2y + 22 = -6(y + -5) Reorder the terms: 22 + -2y = -6(y + -5) Reorder the terms: 22 + -2y = -6(-5 + y) 22 + -2y = (-5 * -6 + y * -6) 22 + -2y = (30 + -6y) Solving 22 + -2y = 30 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 22 + -2y + 6y = 30 + -6y + 6y Combine like terms: -2y + 6y = 4y 22 + 4y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 22 + 4y = 30 + 0 22 + 4y = 30 Add '-22' to each side of the equation. 22 + -22 + 4y = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 4y = 30 + -22 4y = 30 + -22 Combine like terms: 30 + -22 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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