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Simplifying -4(3y) + -5 + 3(5y + 5) = 0 Remove parenthesis around (3y) -4 * 3y + -5 + 3(5y + 5) = 0 Multiply -4 * 3 -12y + -5 + 3(5y + 5) = 0 Reorder the terms: -12y + -5 + 3(5 + 5y) = 0 -12y + -5 + (5 * 3 + 5y * 3) = 0 -12y + -5 + (15 + 15y) = 0 Reorder the terms: -5 + 15 + -12y + 15y = 0 Combine like terms: -5 + 15 = 10 10 + -12y + 15y = 0 Combine like terms: -12y + 15y = 3y 10 + 3y = 0 Solving 10 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3y = 0 + -10 3y = 0 + -10 Combine like terms: 0 + -10 = -10 3y = -10 Divide each side by '3'. y = -3.333333333 Simplifying y = -3.333333333
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