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Simplifying 5(y + -2) + 2(y + -3) = 0 Reorder the terms: 5(-2 + y) + 2(y + -3) = 0 (-2 * 5 + y * 5) + 2(y + -3) = 0 (-10 + 5y) + 2(y + -3) = 0 Reorder the terms: -10 + 5y + 2(-3 + y) = 0 -10 + 5y + (-3 * 2 + y * 2) = 0 -10 + 5y + (-6 + 2y) = 0 Reorder the terms: -10 + -6 + 5y + 2y = 0 Combine like terms: -10 + -6 = -16 -16 + 5y + 2y = 0 Combine like terms: 5y + 2y = 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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