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Simplifying -5(-4y + 8) = 8(y + 7) Reorder the terms: -5(8 + -4y) = 8(y + 7) (8 * -5 + -4y * -5) = 8(y + 7) (-40 + 20y) = 8(y + 7) Reorder the terms: -40 + 20y = 8(7 + y) -40 + 20y = (7 * 8 + y * 8) -40 + 20y = (56 + 8y) Solving -40 + 20y = 56 + 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. -40 + 20y + -8y = 56 + 8y + -8y Combine like terms: 20y + -8y = 12y -40 + 12y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 -40 + 12y = 56 + 0 -40 + 12y = 56 Add '40' to each side of the equation. -40 + 40 + 12y = 56 + 40 Combine like terms: -40 + 40 = 0 0 + 12y = 56 + 40 12y = 56 + 40 Combine like terms: 56 + 40 = 96 12y = 96 Divide each side by '12'. y = 8 Simplifying y = 8
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