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Simplifying 8y + -21 = -9(y + 8) Reorder the terms: -21 + 8y = -9(y + 8) Reorder the terms: -21 + 8y = -9(8 + y) -21 + 8y = (8 * -9 + y * -9) -21 + 8y = (-72 + -9y) Solving -21 + 8y = -72 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -21 + 8y + 9y = -72 + -9y + 9y Combine like terms: 8y + 9y = 17y -21 + 17y = -72 + -9y + 9y Combine like terms: -9y + 9y = 0 -21 + 17y = -72 + 0 -21 + 17y = -72 Add '21' to each side of the equation. -21 + 21 + 17y = -72 + 21 Combine like terms: -21 + 21 = 0 0 + 17y = -72 + 21 17y = -72 + 21 Combine like terms: -72 + 21 = -51 17y = -51 Divide each side by '17'. y = -3 Simplifying y = -3
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