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Simplifying 4(3y + 5) = 10 + -2(y + -5) Reorder the terms: 4(5 + 3y) = 10 + -2(y + -5) (5 * 4 + 3y * 4) = 10 + -2(y + -5) (20 + 12y) = 10 + -2(y + -5) Reorder the terms: 20 + 12y = 10 + -2(-5 + y) 20 + 12y = 10 + (-5 * -2 + y * -2) 20 + 12y = 10 + (10 + -2y) Combine like terms: 10 + 10 = 20 20 + 12y = 20 + -2y Add '-20' to each side of the equation. 20 + -20 + 12y = 20 + -20 + -2y Combine like terms: 20 + -20 = 0 0 + 12y = 20 + -20 + -2y 12y = 20 + -20 + -2y Combine like terms: 20 + -20 = 0 12y = 0 + -2y 12y = -2y Solving 12y = -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12y + 2y = -2y + 2y Combine like terms: 12y + 2y = 14y 14y = -2y + 2y Combine like terms: -2y + 2y = 0 14y = 0 Divide each side by '14'. y = 0 Simplifying y = 0
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