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Simplifying (3y + -8) + -1(4y + -15) = 0 Reorder the terms: (-8 + 3y) + -1(4y + -15) = 0 Remove parenthesis around (-8 + 3y) -8 + 3y + -1(4y + -15) = 0 Reorder the terms: -8 + 3y + -1(-15 + 4y) = 0 -8 + 3y + (-15 * -1 + 4y * -1) = 0 -8 + 3y + (15 + -4y) = 0 Reorder the terms: -8 + 15 + 3y + -4y = 0 Combine like terms: -8 + 15 = 7 7 + 3y + -4y = 0 Combine like terms: 3y + -4y = -1y 7 + -1y = 0 Solving 7 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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