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Simplifying 5y + -23 = -3(y + -3) Reorder the terms: -23 + 5y = -3(y + -3) Reorder the terms: -23 + 5y = -3(-3 + y) -23 + 5y = (-3 * -3 + y * -3) -23 + 5y = (9 + -3y) Solving -23 + 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. -23 + 5y + 3y = 9 + -3y + 3y Combine like terms: 5y + 3y = 8y -23 + 8y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -23 + 8y = 9 + 0 -23 + 8y = 9 Add '23' to each side of the equation. -23 + 23 + 8y = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 8y = 9 + 23 8y = 9 + 23 Combine like terms: 9 + 23 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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