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Simplifying 2(y + 3) = 3(y + -7) Reorder the terms: 2(3 + y) = 3(y + -7) (3 * 2 + y * 2) = 3(y + -7) (6 + 2y) = 3(y + -7) Reorder the terms: 6 + 2y = 3(-7 + y) 6 + 2y = (-7 * 3 + y * 3) 6 + 2y = (-21 + 3y) Solving 6 + 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. 6 + 2y + -3y = -21 + 3y + -3y Combine like terms: 2y + -3y = -1y 6 + -1y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -1y = -21 + 0 6 + -1y = -21 Add '-6' to each side of the equation. 6 + -6 + -1y = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = -21 + -6 -1y = -21 + -6 Combine like terms: -21 + -6 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27
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