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Simplifying 2(y + -3) = 2(3y + 7) Reorder the terms: 2(-3 + y) = 2(3y + 7) (-3 * 2 + y * 2) = 2(3y + 7) (-6 + 2y) = 2(3y + 7) Reorder the terms: -6 + 2y = 2(7 + 3y) -6 + 2y = (7 * 2 + 3y * 2) -6 + 2y = (14 + 6y) Solving -6 + 2y = 14 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -6 + 2y + -6y = 14 + 6y + -6y Combine like terms: 2y + -6y = -4y -6 + -4y = 14 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + -4y = 14 + 0 -6 + -4y = 14 Add '6' to each side of the equation. -6 + 6 + -4y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -4y = 14 + 6 -4y = 14 + 6 Combine like terms: 14 + 6 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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