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Simplifying 6(y + 5) = -2(4y + -7) + 4y Reorder the terms: 6(5 + y) = -2(4y + -7) + 4y (5 * 6 + y * 6) = -2(4y + -7) + 4y (30 + 6y) = -2(4y + -7) + 4y Reorder the terms: 30 + 6y = -2(-7 + 4y) + 4y 30 + 6y = (-7 * -2 + 4y * -2) + 4y 30 + 6y = (14 + -8y) + 4y Combine like terms: -8y + 4y = -4y 30 + 6y = 14 + -4y Solving 30 + 6y = 14 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + 6y + 4y = 14 + -4y + 4y Combine like terms: 6y + 4y = 10y 30 + 10y = 14 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + 10y = 14 + 0 30 + 10y = 14 Add '-30' to each side of the equation. 30 + -30 + 10y = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 10y = 14 + -30 10y = 14 + -30 Combine like terms: 14 + -30 = -16 10y = -16 Divide each side by '10'. y = -1.6 Simplifying y = -1.6
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