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Simplifying -2y + 8 = -6(y + -8) Reorder the terms: 8 + -2y = -6(y + -8) Reorder the terms: 8 + -2y = -6(-8 + y) 8 + -2y = (-8 * -6 + y * -6) 8 + -2y = (48 + -6y) Solving 8 + -2y = 48 + -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. 8 + -2y + 6y = 48 + -6y + 6y Combine like terms: -2y + 6y = 4y 8 + 4y = 48 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 4y = 48 + 0 8 + 4y = 48 Add '-8' to each side of the equation. 8 + -8 + 4y = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = 48 + -8 4y = 48 + -8 Combine like terms: 48 + -8 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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