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Simplifying 4(y + -7) = 7y + -31 Reorder the terms: 4(-7 + y) = 7y + -31 (-7 * 4 + y * 4) = 7y + -31 (-28 + 4y) = 7y + -31 Reorder the terms: -28 + 4y = -31 + 7y Solving -28 + 4y = -31 + 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. -28 + 4y + -7y = -31 + 7y + -7y Combine like terms: 4y + -7y = -3y -28 + -3y = -31 + 7y + -7y Combine like terms: 7y + -7y = 0 -28 + -3y = -31 + 0 -28 + -3y = -31 Add '28' to each side of the equation. -28 + 28 + -3y = -31 + 28 Combine like terms: -28 + 28 = 0 0 + -3y = -31 + 28 -3y = -31 + 28 Combine like terms: -31 + 28 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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