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Simplifying -2y + 10 = -3(3y + 7) Reorder the terms: 10 + -2y = -3(3y + 7) Reorder the terms: 10 + -2y = -3(7 + 3y) 10 + -2y = (7 * -3 + 3y * -3) 10 + -2y = (-21 + -9y) Solving 10 + -2y = -21 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 10 + -2y + 9y = -21 + -9y + 9y Combine like terms: -2y + 9y = 7y 10 + 7y = -21 + -9y + 9y Combine like terms: -9y + 9y = 0 10 + 7y = -21 + 0 10 + 7y = -21 Add '-10' to each side of the equation. 10 + -10 + 7y = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 7y = -21 + -10 7y = -21 + -10 Combine like terms: -21 + -10 = -31 7y = -31 Divide each side by '7'. y = -4.428571429 Simplifying y = -4.428571429
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