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Simplifying 5(2y + 7) = 4(4y + -5) Reorder the terms: 5(7 + 2y) = 4(4y + -5) (7 * 5 + 2y * 5) = 4(4y + -5) (35 + 10y) = 4(4y + -5) Reorder the terms: 35 + 10y = 4(-5 + 4y) 35 + 10y = (-5 * 4 + 4y * 4) 35 + 10y = (-20 + 16y) Solving 35 + 10y = -20 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 35 + 10y + -16y = -20 + 16y + -16y Combine like terms: 10y + -16y = -6y 35 + -6y = -20 + 16y + -16y Combine like terms: 16y + -16y = 0 35 + -6y = -20 + 0 35 + -6y = -20 Add '-35' to each side of the equation. 35 + -35 + -6y = -20 + -35 Combine like terms: 35 + -35 = 0 0 + -6y = -20 + -35 -6y = -20 + -35 Combine like terms: -20 + -35 = -55 -6y = -55 Divide each side by '-6'. y = 9.166666667 Simplifying y = 9.166666667
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