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Simplifying 2y + (y + 3) = 4(y + -5) Reorder the terms: 2y + (3 + y) = 4(y + -5) Remove parenthesis around (3 + y) 2y + 3 + y = 4(y + -5) Reorder the terms: 3 + 2y + y = 4(y + -5) Combine like terms: 2y + y = 3y 3 + 3y = 4(y + -5) Reorder the terms: 3 + 3y = 4(-5 + y) 3 + 3y = (-5 * 4 + y * 4) 3 + 3y = (-20 + 4y) Solving 3 + 3y = -20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + 3y + -4y = -20 + 4y + -4y Combine like terms: 3y + -4y = -1y 3 + -1y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -1y = -20 + 0 3 + -1y = -20 Add '-3' to each side of the equation. 3 + -3 + -1y = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -20 + -3 -1y = -20 + -3 Combine like terms: -20 + -3 = -23 -1y = -23 Divide each side by '-1'. y = 23 Simplifying y = 23
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