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Simplifying y + -5(y + 8) = (-9y + 6) + -3 Reorder the terms: y + -5(8 + y) = (-9y + 6) + -3 y + (8 * -5 + y * -5) = (-9y + 6) + -3 y + (-40 + -5y) = (-9y + 6) + -3 Reorder the terms: -40 + y + -5y = (-9y + 6) + -3 Combine like terms: y + -5y = -4y -40 + -4y = (-9y + 6) + -3 Reorder the terms: -40 + -4y = (6 + -9y) + -3 Remove parenthesis around (6 + -9y) -40 + -4y = 6 + -9y + -3 Reorder the terms: -40 + -4y = 6 + -3 + -9y Combine like terms: 6 + -3 = 3 -40 + -4y = 3 + -9y Solving -40 + -4y = 3 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -40 + -4y + 9y = 3 + -9y + 9y Combine like terms: -4y + 9y = 5y -40 + 5y = 3 + -9y + 9y Combine like terms: -9y + 9y = 0 -40 + 5y = 3 + 0 -40 + 5y = 3 Add '40' to each side of the equation. -40 + 40 + 5y = 3 + 40 Combine like terms: -40 + 40 = 0 0 + 5y = 3 + 40 5y = 3 + 40 Combine like terms: 3 + 40 = 43 5y = 43 Divide each side by '5'. y = 8.6 Simplifying y = 8.6
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