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Simplifying 8(y + -1) = 2y + -2 Reorder the terms: 8(-1 + y) = 2y + -2 (-1 * 8 + y * 8) = 2y + -2 (-8 + 8y) = 2y + -2 Reorder the terms: -8 + 8y = -2 + 2y Solving -8 + 8y = -2 + 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. -8 + 8y + -2y = -2 + 2y + -2y Combine like terms: 8y + -2y = 6y -8 + 6y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + 6y = -2 + 0 -8 + 6y = -2 Add '8' to each side of the equation. -8 + 8 + 6y = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = -2 + 8 6y = -2 + 8 Combine like terms: -2 + 8 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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