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Simplifying 3(5y + 3) + -4(3y + -4) + -7y = 0 Reorder the terms: 3(3 + 5y) + -4(3y + -4) + -7y = 0 (3 * 3 + 5y * 3) + -4(3y + -4) + -7y = 0 (9 + 15y) + -4(3y + -4) + -7y = 0 Reorder the terms: 9 + 15y + -4(-4 + 3y) + -7y = 0 9 + 15y + (-4 * -4 + 3y * -4) + -7y = 0 9 + 15y + (16 + -12y) + -7y = 0 Reorder the terms: 9 + 16 + 15y + -12y + -7y = 0 Combine like terms: 9 + 16 = 25 25 + 15y + -12y + -7y = 0 Combine like terms: 15y + -12y = 3y 25 + 3y + -7y = 0 Combine like terms: 3y + -7y = -4y 25 + -4y = 0 Solving 25 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4y = 0 + -25 -4y = 0 + -25 Combine like terms: 0 + -25 = -25 -4y = -25 Divide each side by '-4'. y = 6.25 Simplifying y = 6.25
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