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Simplifying 8y + 12 = -7(y + 9) Reorder the terms: 12 + 8y = -7(y + 9) Reorder the terms: 12 + 8y = -7(9 + y) 12 + 8y = (9 * -7 + y * -7) 12 + 8y = (-63 + -7y) Solving 12 + 8y = -63 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 12 + 8y + 7y = -63 + -7y + 7y Combine like terms: 8y + 7y = 15y 12 + 15y = -63 + -7y + 7y Combine like terms: -7y + 7y = 0 12 + 15y = -63 + 0 12 + 15y = -63 Add '-12' to each side of the equation. 12 + -12 + 15y = -63 + -12 Combine like terms: 12 + -12 = 0 0 + 15y = -63 + -12 15y = -63 + -12 Combine like terms: -63 + -12 = -75 15y = -75 Divide each side by '15'. y = -5 Simplifying y = -5
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