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Simplifying 7(2y + -8) = 9(3y + 10) Reorder the terms: 7(-8 + 2y) = 9(3y + 10) (-8 * 7 + 2y * 7) = 9(3y + 10) (-56 + 14y) = 9(3y + 10) Reorder the terms: -56 + 14y = 9(10 + 3y) -56 + 14y = (10 * 9 + 3y * 9) -56 + 14y = (90 + 27y) Solving -56 + 14y = 90 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. -56 + 14y + -27y = 90 + 27y + -27y Combine like terms: 14y + -27y = -13y -56 + -13y = 90 + 27y + -27y Combine like terms: 27y + -27y = 0 -56 + -13y = 90 + 0 -56 + -13y = 90 Add '56' to each side of the equation. -56 + 56 + -13y = 90 + 56 Combine like terms: -56 + 56 = 0 0 + -13y = 90 + 56 -13y = 90 + 56 Combine like terms: 90 + 56 = 146 -13y = 146 Divide each side by '-13'. y = -11.23076923 Simplifying y = -11.23076923
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