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Simplifying -2y + 10 = -2(3y + 5) Reorder the terms: 10 + -2y = -2(3y + 5) Reorder the terms: 10 + -2y = -2(5 + 3y) 10 + -2y = (5 * -2 + 3y * -2) 10 + -2y = (-10 + -6y) Solving 10 + -2y = -10 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 10 + -2y + 6y = -10 + -6y + 6y Combine like terms: -2y + 6y = 4y 10 + 4y = -10 + -6y + 6y Combine like terms: -6y + 6y = 0 10 + 4y = -10 + 0 10 + 4y = -10 Add '-10' to each side of the equation. 10 + -10 + 4y = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = -10 + -10 4y = -10 + -10 Combine like terms: -10 + -10 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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