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Simplifying 4(3y + -5) = 2(5y + 3) Reorder the terms: 4(-5 + 3y) = 2(5y + 3) (-5 * 4 + 3y * 4) = 2(5y + 3) (-20 + 12y) = 2(5y + 3) Reorder the terms: -20 + 12y = 2(3 + 5y) -20 + 12y = (3 * 2 + 5y * 2) -20 + 12y = (6 + 10y) Solving -20 + 12y = 6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -20 + 12y + -10y = 6 + 10y + -10y Combine like terms: 12y + -10y = 2y -20 + 2y = 6 + 10y + -10y Combine like terms: 10y + -10y = 0 -20 + 2y = 6 + 0 -20 + 2y = 6 Add '20' to each side of the equation. -20 + 20 + 2y = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 2y = 6 + 20 2y = 6 + 20 Combine like terms: 6 + 20 = 26 2y = 26 Divide each side by '2'. y = 13 Simplifying y = 13
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