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Simplifying 4(y + -7) = 32 + 8y Reorder the terms: 4(-7 + y) = 32 + 8y (-7 * 4 + y * 4) = 32 + 8y (-28 + 4y) = 32 + 8y Solving -28 + 4y = 32 + 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. -28 + 4y + -8y = 32 + 8y + -8y Combine like terms: 4y + -8y = -4y -28 + -4y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 -28 + -4y = 32 + 0 -28 + -4y = 32 Add '28' to each side of the equation. -28 + 28 + -4y = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -4y = 32 + 28 -4y = 32 + 28 Combine like terms: 32 + 28 = 60 -4y = 60 Divide each side by '-4'. y = -15 Simplifying y = -15
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