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Simplifying 5y + -31 = -3(y + -3) Reorder the terms: -31 + 5y = -3(y + -3) Reorder the terms: -31 + 5y = -3(-3 + y) -31 + 5y = (-3 * -3 + y * -3) -31 + 5y = (9 + -3y) Solving -31 + 5y = 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. -31 + 5y + 3y = 9 + -3y + 3y Combine like terms: 5y + 3y = 8y -31 + 8y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -31 + 8y = 9 + 0 -31 + 8y = 9 Add '31' to each side of the equation. -31 + 31 + 8y = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 8y = 9 + 31 8y = 9 + 31 Combine like terms: 9 + 31 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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