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Simplifying -3(y + -7) = 2y + 6 Reorder the terms: -3(-7 + y) = 2y + 6 (-7 * -3 + y * -3) = 2y + 6 (21 + -3y) = 2y + 6 Reorder the terms: 21 + -3y = 6 + 2y Solving 21 + -3y = 6 + 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. 21 + -3y + -2y = 6 + 2y + -2y Combine like terms: -3y + -2y = -5y 21 + -5y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 21 + -5y = 6 + 0 21 + -5y = 6 Add '-21' to each side of the equation. 21 + -21 + -5y = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -5y = 6 + -21 -5y = 6 + -21 Combine like terms: 6 + -21 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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