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Simplifying 4(y + 1) + -3(y + -5) = 0 Reorder the terms: 4(1 + y) + -3(y + -5) = 0 (1 * 4 + y * 4) + -3(y + -5) = 0 (4 + 4y) + -3(y + -5) = 0 Reorder the terms: 4 + 4y + -3(-5 + y) = 0 4 + 4y + (-5 * -3 + y * -3) = 0 4 + 4y + (15 + -3y) = 0 Reorder the terms: 4 + 15 + 4y + -3y = 0 Combine like terms: 4 + 15 = 19 19 + 4y + -3y = 0 Combine like terms: 4y + -3y = 1y 19 + 1y = 0 Solving 19 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1y = 0 + -19 1y = 0 + -19 Combine like terms: 0 + -19 = -19 1y = -19 Divide each side by '1'. y = -19 Simplifying y = -19
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