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Simplifying -4(3y) + -5 + 2(5y + 7) = 0 Remove parenthesis around (3y) -4 * 3y + -5 + 2(5y + 7) = 0 Multiply -4 * 3 -12y + -5 + 2(5y + 7) = 0 Reorder the terms: -12y + -5 + 2(7 + 5y) = 0 -12y + -5 + (7 * 2 + 5y * 2) = 0 -12y + -5 + (14 + 10y) = 0 Reorder the terms: -5 + 14 + -12y + 10y = 0 Combine like terms: -5 + 14 = 9 9 + -12y + 10y = 0 Combine like terms: -12y + 10y = -2y 9 + -2y = 0 Solving 9 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5
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