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Simplifying -5(-4y + 9) + -3y = 7(y + -4) + -9 Reorder the terms: -5(9 + -4y) + -3y = 7(y + -4) + -9 (9 * -5 + -4y * -5) + -3y = 7(y + -4) + -9 (-45 + 20y) + -3y = 7(y + -4) + -9 Combine like terms: 20y + -3y = 17y -45 + 17y = 7(y + -4) + -9 Reorder the terms: -45 + 17y = 7(-4 + y) + -9 -45 + 17y = (-4 * 7 + y * 7) + -9 -45 + 17y = (-28 + 7y) + -9 Reorder the terms: -45 + 17y = -28 + -9 + 7y Combine like terms: -28 + -9 = -37 -45 + 17y = -37 + 7y Solving -45 + 17y = -37 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -45 + 17y + -7y = -37 + 7y + -7y Combine like terms: 17y + -7y = 10y -45 + 10y = -37 + 7y + -7y Combine like terms: 7y + -7y = 0 -45 + 10y = -37 + 0 -45 + 10y = -37 Add '45' to each side of the equation. -45 + 45 + 10y = -37 + 45 Combine like terms: -45 + 45 = 0 0 + 10y = -37 + 45 10y = -37 + 45 Combine like terms: -37 + 45 = 8 10y = 8 Divide each side by '10'. y = 0.8 Simplifying y = 0.8
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