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Simplifying 7(y + -2) = 3y + -42 Reorder the terms: 7(-2 + y) = 3y + -42 (-2 * 7 + y * 7) = 3y + -42 (-14 + 7y) = 3y + -42 Reorder the terms: -14 + 7y = -42 + 3y Solving -14 + 7y = -42 + 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. -14 + 7y + -3y = -42 + 3y + -3y Combine like terms: 7y + -3y = 4y -14 + 4y = -42 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + 4y = -42 + 0 -14 + 4y = -42 Add '14' to each side of the equation. -14 + 14 + 4y = -42 + 14 Combine like terms: -14 + 14 = 0 0 + 4y = -42 + 14 4y = -42 + 14 Combine like terms: -42 + 14 = -28 4y = -28 Divide each side by '4'. y = -7 Simplifying y = -7
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