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Simplifying 3(5 + -2y) + 4 = 5(3y + 5) + -6 (5 * 3 + -2y * 3) + 4 = 5(3y + 5) + -6 (15 + -6y) + 4 = 5(3y + 5) + -6 Reorder the terms: 15 + 4 + -6y = 5(3y + 5) + -6 Combine like terms: 15 + 4 = 19 19 + -6y = 5(3y + 5) + -6 Reorder the terms: 19 + -6y = 5(5 + 3y) + -6 19 + -6y = (5 * 5 + 3y * 5) + -6 19 + -6y = (25 + 15y) + -6 Reorder the terms: 19 + -6y = 25 + -6 + 15y Combine like terms: 25 + -6 = 19 19 + -6y = 19 + 15y Add '-19' to each side of the equation. 19 + -19 + -6y = 19 + -19 + 15y Combine like terms: 19 + -19 = 0 0 + -6y = 19 + -19 + 15y -6y = 19 + -19 + 15y Combine like terms: 19 + -19 = 0 -6y = 0 + 15y -6y = 15y Solving -6y = 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -6y + -15y = 15y + -15y Combine like terms: -6y + -15y = -21y -21y = 15y + -15y Combine like terms: 15y + -15y = 0 -21y = 0 Divide each side by '-21'. y = 0 Simplifying y = 0
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