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Simplifying -3y + -19 = -8(y + 8) Reorder the terms: -19 + -3y = -8(y + 8) Reorder the terms: -19 + -3y = -8(8 + y) -19 + -3y = (8 * -8 + y * -8) -19 + -3y = (-64 + -8y) Solving -19 + -3y = -64 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -19 + -3y + 8y = -64 + -8y + 8y Combine like terms: -3y + 8y = 5y -19 + 5y = -64 + -8y + 8y Combine like terms: -8y + 8y = 0 -19 + 5y = -64 + 0 -19 + 5y = -64 Add '19' to each side of the equation. -19 + 19 + 5y = -64 + 19 Combine like terms: -19 + 19 = 0 0 + 5y = -64 + 19 5y = -64 + 19 Combine like terms: -64 + 19 = -45 5y = -45 Divide each side by '5'. y = -9 Simplifying y = -9
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