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Simplifying -3y + 46 = 2(y + -2) Reorder the terms: 46 + -3y = 2(y + -2) Reorder the terms: 46 + -3y = 2(-2 + y) 46 + -3y = (-2 * 2 + y * 2) 46 + -3y = (-4 + 2y) Solving 46 + -3y = -4 + 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 + -3y + -2y = -4 + 2y + -2y Combine like terms: -3y + -2y = -5y 46 + -5y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 46 + -5y = -4 + 0 46 + -5y = -4 Add '-46' to each side of the equation. 46 + -46 + -5y = -4 + -46 Combine like terms: 46 + -46 = 0 0 + -5y = -4 + -46 -5y = -4 + -46 Combine like terms: -4 + -46 = -50 -5y = -50 Divide each side by '-5'. y = 10 Simplifying y = 10
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