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Simplifying 5(2y + -2) + -3(y + 2) = 0 Reorder the terms: 5(-2 + 2y) + -3(y + 2) = 0 (-2 * 5 + 2y * 5) + -3(y + 2) = 0 (-10 + 10y) + -3(y + 2) = 0 Reorder the terms: -10 + 10y + -3(2 + y) = 0 -10 + 10y + (2 * -3 + y * -3) = 0 -10 + 10y + (-6 + -3y) = 0 Reorder the terms: -10 + -6 + 10y + -3y = 0 Combine like terms: -10 + -6 = -16 -16 + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y -16 + 7y = 0 Solving -16 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7y = 0 + 16 7y = 0 + 16 Combine like terms: 0 + 16 = 16 7y = 16 Divide each side by '7'. y = 2.285714286 Simplifying y = 2.285714286
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