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