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Simplifying 2(y + -3) + -5 = 3y + -3(2y + 7) Reorder the terms: 2(-3 + y) + -5 = 3y + -3(2y + 7) (-3 * 2 + y * 2) + -5 = 3y + -3(2y + 7) (-6 + 2y) + -5 = 3y + -3(2y + 7) Reorder the terms: -6 + -5 + 2y = 3y + -3(2y + 7) Combine like terms: -6 + -5 = -11 -11 + 2y = 3y + -3(2y + 7) Reorder the terms: -11 + 2y = 3y + -3(7 + 2y) -11 + 2y = 3y + (7 * -3 + 2y * -3) -11 + 2y = 3y + (-21 + -6y) Reorder the terms: -11 + 2y = -21 + 3y + -6y Combine like terms: 3y + -6y = -3y -11 + 2y = -21 + -3y Solving -11 + 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. -11 + 2y + 3y = -21 + -3y + 3y Combine like terms: 2y + 3y = 5y -11 + 5y = -21 + -3y + 3y Combine like terms: -3y + 3y = 0 -11 + 5y = -21 + 0 -11 + 5y = -21 Add '11' to each side of the equation. -11 + 11 + 5y = -21 + 11 Combine like terms: -11 + 11 = 0 0 + 5y = -21 + 11 5y = -21 + 11 Combine like terms: -21 + 11 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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