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Simplifying -46 + 5y + 2 = 2(5y + -3) + -8 Reorder the terms: -46 + 2 + 5y = 2(5y + -3) + -8 Combine like terms: -46 + 2 = -44 -44 + 5y = 2(5y + -3) + -8 Reorder the terms: -44 + 5y = 2(-3 + 5y) + -8 -44 + 5y = (-3 * 2 + 5y * 2) + -8 -44 + 5y = (-6 + 10y) + -8 Reorder the terms: -44 + 5y = -6 + -8 + 10y Combine like terms: -6 + -8 = -14 -44 + 5y = -14 + 10y Solving -44 + 5y = -14 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -44 + 5y + -10y = -14 + 10y + -10y Combine like terms: 5y + -10y = -5y -44 + -5y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 -44 + -5y = -14 + 0 -44 + -5y = -14 Add '44' to each side of the equation. -44 + 44 + -5y = -14 + 44 Combine like terms: -44 + 44 = 0 0 + -5y = -14 + 44 -5y = -14 + 44 Combine like terms: -14 + 44 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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