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Simplifying 3(y + -2) + 2(y + -3) = 15 Reorder the terms: 3(-2 + y) + 2(y + -3) = 15 (-2 * 3 + y * 3) + 2(y + -3) = 15 (-6 + 3y) + 2(y + -3) = 15 Reorder the terms: -6 + 3y + 2(-3 + y) = 15 -6 + 3y + (-3 * 2 + y * 2) = 15 -6 + 3y + (-6 + 2y) = 15 Reorder the terms: -6 + -6 + 3y + 2y = 15 Combine like terms: -6 + -6 = -12 -12 + 3y + 2y = 15 Combine like terms: 3y + 2y = 5y -12 + 5y = 15 Solving -12 + 5y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 15 + 12 5y = 15 + 12 Combine like terms: 15 + 12 = 27 5y = 27 Divide each side by '5'. y = 5.4 Simplifying y = 5.4
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