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Simplifying 9(8y + -5) + -7(6y + 7) = 20y Reorder the terms: 9(-5 + 8y) + -7(6y + 7) = 20y (-5 * 9 + 8y * 9) + -7(6y + 7) = 20y (-45 + 72y) + -7(6y + 7) = 20y Reorder the terms: -45 + 72y + -7(7 + 6y) = 20y -45 + 72y + (7 * -7 + 6y * -7) = 20y -45 + 72y + (-49 + -42y) = 20y Reorder the terms: -45 + -49 + 72y + -42y = 20y Combine like terms: -45 + -49 = -94 -94 + 72y + -42y = 20y Combine like terms: 72y + -42y = 30y -94 + 30y = 20y Solving -94 + 30y = 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -94 + 30y + -20y = 20y + -20y Combine like terms: 30y + -20y = 10y -94 + 10y = 20y + -20y Combine like terms: 20y + -20y = 0 -94 + 10y = 0 Add '94' to each side of the equation. -94 + 94 + 10y = 0 + 94 Combine like terms: -94 + 94 = 0 0 + 10y = 0 + 94 10y = 0 + 94 Combine like terms: 0 + 94 = 94 10y = 94 Divide each side by '10'. y = 9.4 Simplifying y = 9.4
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