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Simplifying 8(y + 4) = -7y + -13 Reorder the terms: 8(4 + y) = -7y + -13 (4 * 8 + y * 8) = -7y + -13 (32 + 8y) = -7y + -13 Reorder the terms: 32 + 8y = -13 + -7y Solving 32 + 8y = -13 + -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. 32 + 8y + 7y = -13 + -7y + 7y Combine like terms: 8y + 7y = 15y 32 + 15y = -13 + -7y + 7y Combine like terms: -7y + 7y = 0 32 + 15y = -13 + 0 32 + 15y = -13 Add '-32' to each side of the equation. 32 + -32 + 15y = -13 + -32 Combine like terms: 32 + -32 = 0 0 + 15y = -13 + -32 15y = -13 + -32 Combine like terms: -13 + -32 = -45 15y = -45 Divide each side by '15'. y = -3 Simplifying y = -3
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