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Simplifying (3y + 5) = (4y + -10) Reorder the terms: (5 + 3y) = (4y + -10) Remove parenthesis around (5 + 3y) 5 + 3y = (4y + -10) Reorder the terms: 5 + 3y = (-10 + 4y) Remove parenthesis around (-10 + 4y) 5 + 3y = -10 + 4y Solving 5 + 3y = -10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 5 + 3y + -4y = -10 + 4y + -4y Combine like terms: 3y + -4y = -1y 5 + -1y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + -1y = -10 + 0 5 + -1y = -10 Add '-5' to each side of the equation. 5 + -5 + -1y = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = -10 + -5 -1y = -10 + -5 Combine like terms: -10 + -5 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15
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