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Simplifying 7(3y + -5) + -2(10 + 4y) = 0 Reorder the terms: 7(-5 + 3y) + -2(10 + 4y) = 0 (-5 * 7 + 3y * 7) + -2(10 + 4y) = 0 (-35 + 21y) + -2(10 + 4y) = 0 -35 + 21y + (10 * -2 + 4y * -2) = 0 -35 + 21y + (-20 + -8y) = 0 Reorder the terms: -35 + -20 + 21y + -8y = 0 Combine like terms: -35 + -20 = -55 -55 + 21y + -8y = 0 Combine like terms: 21y + -8y = 13y -55 + 13y = 0 Solving -55 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 13y = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 13y = 0 + 55 13y = 0 + 55 Combine like terms: 0 + 55 = 55 13y = 55 Divide each side by '13'. y = 4.230769231 Simplifying y = 4.230769231
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