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Simplifying -4(10 + 2y) + 5y = -31 (10 * -4 + 2y * -4) + 5y = -31 (-40 + -8y) + 5y = -31 Combine like terms: -8y + 5y = -3y -40 + -3y = -31 Solving -40 + -3y = -31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3y = -31 + 40 Combine like terms: -40 + 40 = 0 0 + -3y = -31 + 40 -3y = -31 + 40 Combine like terms: -31 + 40 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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