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Simplifying 2y + -46 = -8(y + -3) Reorder the terms: -46 + 2y = -8(y + -3) Reorder the terms: -46 + 2y = -8(-3 + y) -46 + 2y = (-3 * -8 + y * -8) -46 + 2y = (24 + -8y) Solving -46 + 2y = 24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -46 + 2y + 8y = 24 + -8y + 8y Combine like terms: 2y + 8y = 10y -46 + 10y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 -46 + 10y = 24 + 0 -46 + 10y = 24 Add '46' to each side of the equation. -46 + 46 + 10y = 24 + 46 Combine like terms: -46 + 46 = 0 0 + 10y = 24 + 46 10y = 24 + 46 Combine like terms: 24 + 46 = 70 10y = 70 Divide each side by '10'. y = 7 Simplifying y = 7
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