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Simplifying 8 + 2(5y + -7) = -2(5y + -3) + 5y Reorder the terms: 8 + 2(-7 + 5y) = -2(5y + -3) + 5y 8 + (-7 * 2 + 5y * 2) = -2(5y + -3) + 5y 8 + (-14 + 10y) = -2(5y + -3) + 5y Combine like terms: 8 + -14 = -6 -6 + 10y = -2(5y + -3) + 5y Reorder the terms: -6 + 10y = -2(-3 + 5y) + 5y -6 + 10y = (-3 * -2 + 5y * -2) + 5y -6 + 10y = (6 + -10y) + 5y Combine like terms: -10y + 5y = -5y -6 + 10y = 6 + -5y Solving -6 + 10y = 6 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -6 + 10y + 5y = 6 + -5y + 5y Combine like terms: 10y + 5y = 15y -6 + 15y = 6 + -5y + 5y Combine like terms: -5y + 5y = 0 -6 + 15y = 6 + 0 -6 + 15y = 6 Add '6' to each side of the equation. -6 + 6 + 15y = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 15y = 6 + 6 15y = 6 + 6 Combine like terms: 6 + 6 = 12 15y = 12 Divide each side by '15'. y = 0.8 Simplifying y = 0.8
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