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Simplifying -2y + -46 = 3(y + -7) Reorder the terms: -46 + -2y = 3(y + -7) Reorder the terms: -46 + -2y = 3(-7 + y) -46 + -2y = (-7 * 3 + y * 3) -46 + -2y = (-21 + 3y) Solving -46 + -2y = -21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -46 + -2y + -3y = -21 + 3y + -3y Combine like terms: -2y + -3y = -5y -46 + -5y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 -46 + -5y = -21 + 0 -46 + -5y = -21 Add '46' to each side of the equation. -46 + 46 + -5y = -21 + 46 Combine like terms: -46 + 46 = 0 0 + -5y = -21 + 46 -5y = -21 + 46 Combine like terms: -21 + 46 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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