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Simplifying 5(y + 4) + 10(y + -3) + 2 = 0 Reorder the terms: 5(4 + y) + 10(y + -3) + 2 = 0 (4 * 5 + y * 5) + 10(y + -3) + 2 = 0 (20 + 5y) + 10(y + -3) + 2 = 0 Reorder the terms: 20 + 5y + 10(-3 + y) + 2 = 0 20 + 5y + (-3 * 10 + y * 10) + 2 = 0 20 + 5y + (-30 + 10y) + 2 = 0 Reorder the terms: 20 + -30 + 2 + 5y + 10y = 0 Combine like terms: 20 + -30 = -10 -10 + 2 + 5y + 10y = 0 Combine like terms: -10 + 2 = -8 -8 + 5y + 10y = 0 Combine like terms: 5y + 10y = 15y -8 + 15y = 0 Solving -8 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 15y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 15y = 0 + 8 15y = 0 + 8 Combine like terms: 0 + 8 = 8 15y = 8 Divide each side by '15'. y = 0.5333333333 Simplifying y = 0.5333333333
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