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Simplifying (-2y) + -46 = 8(y + -2) Reorder the terms: -46 + (-2y) = 8(y + -2) Reorder the terms: -46 + (-2y) = 8(-2 + y) -46 + (-2y) = (-2 * 8 + y * 8) -46 + (-2y) = (-16 + 8y) Solving -46 + (-2y) = -16 + 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 = -16 + 8y + -8y Combine like terms: (-2y) + -8y = -10y -46 + -10y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 -46 + -10y = -16 + 0 -46 + -10y = -16 Add '46' to each side of the equation. -46 + 46 + -10y = -16 + 46 Combine like terms: -46 + 46 = 0 0 + -10y = -16 + 46 -10y = -16 + 46 Combine like terms: -16 + 46 = 30 -10y = 30 Divide each side by '-10'. y = -3 Simplifying y = -3
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