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Simplifying 6 + -5(2y + -3) = 4y + 7 Reorder the terms: 6 + -5(-3 + 2y) = 4y + 7 6 + (-3 * -5 + 2y * -5) = 4y + 7 6 + (15 + -10y) = 4y + 7 Combine like terms: 6 + 15 = 21 21 + -10y = 4y + 7 Reorder the terms: 21 + -10y = 7 + 4y Solving 21 + -10y = 7 + 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. 21 + -10y + -4y = 7 + 4y + -4y Combine like terms: -10y + -4y = -14y 21 + -14y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 21 + -14y = 7 + 0 21 + -14y = 7 Add '-21' to each side of the equation. 21 + -21 + -14y = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -14y = 7 + -21 -14y = 7 + -21 Combine like terms: 7 + -21 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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