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Simplifying 4(y + -5) = -3(y + 4) + 13 Reorder the terms: 4(-5 + y) = -3(y + 4) + 13 (-5 * 4 + y * 4) = -3(y + 4) + 13 (-20 + 4y) = -3(y + 4) + 13 Reorder the terms: -20 + 4y = -3(4 + y) + 13 -20 + 4y = (4 * -3 + y * -3) + 13 -20 + 4y = (-12 + -3y) + 13 Reorder the terms: -20 + 4y = -12 + 13 + -3y Combine like terms: -12 + 13 = 1 -20 + 4y = 1 + -3y Solving -20 + 4y = 1 + -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. -20 + 4y + 3y = 1 + -3y + 3y Combine like terms: 4y + 3y = 7y -20 + 7y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 -20 + 7y = 1 + 0 -20 + 7y = 1 Add '20' to each side of the equation. -20 + 20 + 7y = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7y = 1 + 20 7y = 1 + 20 Combine like terms: 1 + 20 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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