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Simplifying -4(10 + -2y) = -1(-5y + 7) (10 * -4 + -2y * -4) = -1(-5y + 7) (-40 + 8y) = -1(-5y + 7) Reorder the terms: -40 + 8y = -1(7 + -5y) -40 + 8y = (7 * -1 + -5y * -1) -40 + 8y = (-7 + 5y) Solving -40 + 8y = -7 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -40 + 8y + -5y = -7 + 5y + -5y Combine like terms: 8y + -5y = 3y -40 + 3y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 -40 + 3y = -7 + 0 -40 + 3y = -7 Add '40' to each side of the equation. -40 + 40 + 3y = -7 + 40 Combine like terms: -40 + 40 = 0 0 + 3y = -7 + 40 3y = -7 + 40 Combine like terms: -7 + 40 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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