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Simplifying 5y + -1 = -3(y + 3) Reorder the terms: -1 + 5y = -3(y + 3) Reorder the terms: -1 + 5y = -3(3 + y) -1 + 5y = (3 * -3 + y * -3) -1 + 5y = (-9 + -3y) Solving -1 + 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. -1 + 5y + 3y = -9 + -3y + 3y Combine like terms: 5y + 3y = 8y -1 + 8y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 8y = -9 + 0 -1 + 8y = -9 Add '1' to each side of the equation. -1 + 1 + 8y = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 8y = -9 + 1 8y = -9 + 1 Combine like terms: -9 + 1 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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