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Simplifying -5y + 32 = 8(y + -7) Reorder the terms: 32 + -5y = 8(y + -7) Reorder the terms: 32 + -5y = 8(-7 + y) 32 + -5y = (-7 * 8 + y * 8) 32 + -5y = (-56 + 8y) Solving 32 + -5y = -56 + 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. 32 + -5y + -8y = -56 + 8y + -8y Combine like terms: -5y + -8y = -13y 32 + -13y = -56 + 8y + -8y Combine like terms: 8y + -8y = 0 32 + -13y = -56 + 0 32 + -13y = -56 Add '-32' to each side of the equation. 32 + -32 + -13y = -56 + -32 Combine like terms: 32 + -32 = 0 0 + -13y = -56 + -32 -13y = -56 + -32 Combine like terms: -56 + -32 = -88 -13y = -88 Divide each side by '-13'. y = 6.769230769 Simplifying y = 6.769230769
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