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Simplifying -3y + 32 = 7(y + -4) Reorder the terms: 32 + -3y = 7(y + -4) Reorder the terms: 32 + -3y = 7(-4 + y) 32 + -3y = (-4 * 7 + y * 7) 32 + -3y = (-28 + 7y) Solving 32 + -3y = -28 + 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 + -3y + -7y = -28 + 7y + -7y Combine like terms: -3y + -7y = -10y 32 + -10y = -28 + 7y + -7y Combine like terms: 7y + -7y = 0 32 + -10y = -28 + 0 32 + -10y = -28 Add '-32' to each side of the equation. 32 + -32 + -10y = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -10y = -28 + -32 -10y = -28 + -32 Combine like terms: -28 + -32 = -60 -10y = -60 Divide each side by '-10'. y = 6 Simplifying y = 6
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