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Simplifying 15 + 7y = 8(y + -2) Reorder the terms: 15 + 7y = 8(-2 + y) 15 + 7y = (-2 * 8 + y * 8) 15 + 7y = (-16 + 8y) Solving 15 + 7y = -16 + 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. 15 + 7y + -8y = -16 + 8y + -8y Combine like terms: 7y + -8y = -1y 15 + -1y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 15 + -1y = -16 + 0 15 + -1y = -16 Add '-15' to each side of the equation. 15 + -15 + -1y = -16 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = -16 + -15 -1y = -16 + -15 Combine like terms: -16 + -15 = -31 -1y = -31 Divide each side by '-1'. y = 31 Simplifying y = 31
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