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Simplifying 7y + 33 = -8(y + 9) Reorder the terms: 33 + 7y = -8(y + 9) Reorder the terms: 33 + 7y = -8(9 + y) 33 + 7y = (9 * -8 + y * -8) 33 + 7y = (-72 + -8y) Solving 33 + 7y = -72 + -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. 33 + 7y + 8y = -72 + -8y + 8y Combine like terms: 7y + 8y = 15y 33 + 15y = -72 + -8y + 8y Combine like terms: -8y + 8y = 0 33 + 15y = -72 + 0 33 + 15y = -72 Add '-33' to each side of the equation. 33 + -33 + 15y = -72 + -33 Combine like terms: 33 + -33 = 0 0 + 15y = -72 + -33 15y = -72 + -33 Combine like terms: -72 + -33 = -105 15y = -105 Divide each side by '15'. y = -7 Simplifying y = -7
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