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Simplifying 5(y + 2) + -4(y + 3) = 0 Reorder the terms: 5(2 + y) + -4(y + 3) = 0 (2 * 5 + y * 5) + -4(y + 3) = 0 (10 + 5y) + -4(y + 3) = 0 Reorder the terms: 10 + 5y + -4(3 + y) = 0 10 + 5y + (3 * -4 + y * -4) = 0 10 + 5y + (-12 + -4y) = 0 Reorder the terms: 10 + -12 + 5y + -4y = 0 Combine like terms: 10 + -12 = -2 -2 + 5y + -4y = 0 Combine like terms: 5y + -4y = 1y -2 + 1y = 0 Solving -2 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 0 + 2 1y = 0 + 2 Combine like terms: 0 + 2 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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