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Simplifying 6(5y + 7) = (4y + -10) Reorder the terms: 6(7 + 5y) = (4y + -10) (7 * 6 + 5y * 6) = (4y + -10) (42 + 30y) = (4y + -10) Reorder the terms: 42 + 30y = (-10 + 4y) Remove parenthesis around (-10 + 4y) 42 + 30y = -10 + 4y Solving 42 + 30y = -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. 42 + 30y + -4y = -10 + 4y + -4y Combine like terms: 30y + -4y = 26y 42 + 26y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 42 + 26y = -10 + 0 42 + 26y = -10 Add '-42' to each side of the equation. 42 + -42 + 26y = -10 + -42 Combine like terms: 42 + -42 = 0 0 + 26y = -10 + -42 26y = -10 + -42 Combine like terms: -10 + -42 = -52 26y = -52 Divide each side by '26'. y = -2 Simplifying y = -2
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