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Simplifying -5(y + -2) = 7y + 46 Reorder the terms: -5(-2 + y) = 7y + 46 (-2 * -5 + y * -5) = 7y + 46 (10 + -5y) = 7y + 46 Reorder the terms: 10 + -5y = 46 + 7y Solving 10 + -5y = 46 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 10 + -5y + -7y = 46 + 7y + -7y Combine like terms: -5y + -7y = -12y 10 + -12y = 46 + 7y + -7y Combine like terms: 7y + -7y = 0 10 + -12y = 46 + 0 10 + -12y = 46 Add '-10' to each side of the equation. 10 + -10 + -12y = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -12y = 46 + -10 -12y = 46 + -10 Combine like terms: 46 + -10 = 36 -12y = 36 Divide each side by '-12'. y = -3 Simplifying y = -3
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