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Simplifying 8(y + -5) = 9y + -7 Reorder the terms: 8(-5 + y) = 9y + -7 (-5 * 8 + y * 8) = 9y + -7 (-40 + 8y) = 9y + -7 Reorder the terms: -40 + 8y = -7 + 9y Solving -40 + 8y = -7 + 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 + 8y + -9y = -7 + 9y + -9y Combine like terms: 8y + -9y = -1y -40 + -1y = -7 + 9y + -9y Combine like terms: 9y + -9y = 0 -40 + -1y = -7 + 0 -40 + -1y = -7 Add '40' to each side of the equation. -40 + 40 + -1y = -7 + 40 Combine like terms: -40 + 40 = 0 0 + -1y = -7 + 40 -1y = -7 + 40 Combine like terms: -7 + 40 = 33 -1y = 33 Divide each side by '-1'. y = -33 Simplifying y = -33
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