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Simplifying 5(6y + -2) = 7(5y + -4) Reorder the terms: 5(-2 + 6y) = 7(5y + -4) (-2 * 5 + 6y * 5) = 7(5y + -4) (-10 + 30y) = 7(5y + -4) Reorder the terms: -10 + 30y = 7(-4 + 5y) -10 + 30y = (-4 * 7 + 5y * 7) -10 + 30y = (-28 + 35y) Solving -10 + 30y = -28 + 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. -10 + 30y + -35y = -28 + 35y + -35y Combine like terms: 30y + -35y = -5y -10 + -5y = -28 + 35y + -35y Combine like terms: 35y + -35y = 0 -10 + -5y = -28 + 0 -10 + -5y = -28 Add '10' to each side of the equation. -10 + 10 + -5y = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -5y = -28 + 10 -5y = -28 + 10 Combine like terms: -28 + 10 = -18 -5y = -18 Divide each side by '-5'. y = 3.6 Simplifying y = 3.6
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