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Simplifying 2y + -46 = 6(y + -1) Reorder the terms: -46 + 2y = 6(y + -1) Reorder the terms: -46 + 2y = 6(-1 + y) -46 + 2y = (-1 * 6 + y * 6) -46 + 2y = (-6 + 6y) Solving -46 + 2y = -6 + 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. -46 + 2y + -6y = -6 + 6y + -6y Combine like terms: 2y + -6y = -4y -46 + -4y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -46 + -4y = -6 + 0 -46 + -4y = -6 Add '46' to each side of the equation. -46 + 46 + -4y = -6 + 46 Combine like terms: -46 + 46 = 0 0 + -4y = -6 + 46 -4y = -6 + 46 Combine like terms: -6 + 46 = 40 -4y = 40 Divide each side by '-4'. y = -10 Simplifying y = -10
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