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Simplifying 4y + -2(y + 3) + 5 = -3y + 9 Reorder the terms: 4y + -2(3 + y) + 5 = -3y + 9 4y + (3 * -2 + y * -2) + 5 = -3y + 9 4y + (-6 + -2y) + 5 = -3y + 9 Reorder the terms: -6 + 5 + 4y + -2y = -3y + 9 Combine like terms: -6 + 5 = -1 -1 + 4y + -2y = -3y + 9 Combine like terms: 4y + -2y = 2y -1 + 2y = -3y + 9 Reorder the terms: -1 + 2y = 9 + -3y Solving -1 + 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. -1 + 2y + 3y = 9 + -3y + 3y Combine like terms: 2y + 3y = 5y -1 + 5y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 5y = 9 + 0 -1 + 5y = 9 Add '1' to each side of the equation. -1 + 1 + 5y = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 9 + 1 5y = 9 + 1 Combine like terms: 9 + 1 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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