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Simplifying 2(y + -3) = -3(y + -3) Reorder the terms: 2(-3 + y) = -3(y + -3) (-3 * 2 + y * 2) = -3(y + -3) (-6 + 2y) = -3(y + -3) Reorder the terms: -6 + 2y = -3(-3 + y) -6 + 2y = (-3 * -3 + y * -3) -6 + 2y = (9 + -3y) Solving -6 + 2y = 9 + -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 = 9 + -3y + 3y Combine like terms: 2y + 3y = 5y -6 + 5y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -6 + 5y = 9 + 0 -6 + 5y = 9 Add '6' to each side of the equation. -6 + 6 + 5y = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 9 + 6 5y = 9 + 6 Combine like terms: 9 + 6 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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