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Simplifying 9y + 8(y + -5) = y + 10 Reorder the terms: 9y + 8(-5 + y) = y + 10 9y + (-5 * 8 + y * 8) = y + 10 9y + (-40 + 8y) = y + 10 Reorder the terms: -40 + 9y + 8y = y + 10 Combine like terms: 9y + 8y = 17y -40 + 17y = y + 10 Reorder the terms: -40 + 17y = 10 + y Solving -40 + 17y = 10 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -40 + 17y + -1y = 10 + y + -1y Combine like terms: 17y + -1y = 16y -40 + 16y = 10 + y + -1y Combine like terms: y + -1y = 0 -40 + 16y = 10 + 0 -40 + 16y = 10 Add '40' to each side of the equation. -40 + 40 + 16y = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 16y = 10 + 40 16y = 10 + 40 Combine like terms: 10 + 40 = 50 16y = 50 Divide each side by '16'. y = 3.125 Simplifying y = 3.125
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