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Simplifying 6y + -46 = -2(y + -5) Reorder the terms: -46 + 6y = -2(y + -5) Reorder the terms: -46 + 6y = -2(-5 + y) -46 + 6y = (-5 * -2 + y * -2) -46 + 6y = (10 + -2y) Solving -46 + 6y = 10 + -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. -46 + 6y + 2y = 10 + -2y + 2y Combine like terms: 6y + 2y = 8y -46 + 8y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 -46 + 8y = 10 + 0 -46 + 8y = 10 Add '46' to each side of the equation. -46 + 46 + 8y = 10 + 46 Combine like terms: -46 + 46 = 0 0 + 8y = 10 + 46 8y = 10 + 46 Combine like terms: 10 + 46 = 56 8y = 56 Divide each side by '8'. y = 7 Simplifying y = 7
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