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Simplifying 2(y + -3) + -5y = 3(y + 3) Reorder the terms: 2(-3 + y) + -5y = 3(y + 3) (-3 * 2 + y * 2) + -5y = 3(y + 3) (-6 + 2y) + -5y = 3(y + 3) Combine like terms: 2y + -5y = -3y -6 + -3y = 3(y + 3) Reorder the terms: -6 + -3y = 3(3 + y) -6 + -3y = (3 * 3 + y * 3) -6 + -3y = (9 + 3y) Solving -6 + -3y = 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 + -3y + -3y = 9 + 3y + -3y Combine like terms: -3y + -3y = -6y -6 + -6y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + -6y = 9 + 0 -6 + -6y = 9 Add '6' to each side of the equation. -6 + 6 + -6y = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = 9 + 6 -6y = 9 + 6 Combine like terms: 9 + 6 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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