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Simplifying 9(y + -7) = 8(y + -5) Reorder the terms: 9(-7 + y) = 8(y + -5) (-7 * 9 + y * 9) = 8(y + -5) (-63 + 9y) = 8(y + -5) Reorder the terms: -63 + 9y = 8(-5 + y) -63 + 9y = (-5 * 8 + y * 8) -63 + 9y = (-40 + 8y) Solving -63 + 9y = -40 + 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. -63 + 9y + -8y = -40 + 8y + -8y Combine like terms: 9y + -8y = 1y -63 + 1y = -40 + 8y + -8y Combine like terms: 8y + -8y = 0 -63 + 1y = -40 + 0 -63 + 1y = -40 Add '63' to each side of the equation. -63 + 63 + 1y = -40 + 63 Combine like terms: -63 + 63 = 0 0 + 1y = -40 + 63 1y = -40 + 63 Combine like terms: -40 + 63 = 23 1y = 23 Divide each side by '1'. y = 23 Simplifying y = 23
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