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Simplifying 2y + 10 = -2(3y + 3) Reorder the terms: 10 + 2y = -2(3y + 3) Reorder the terms: 10 + 2y = -2(3 + 3y) 10 + 2y = (3 * -2 + 3y * -2) 10 + 2y = (-6 + -6y) Solving 10 + 2y = -6 + -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 = -6 + -6y + 6y Combine like terms: 2y + 6y = 8y 10 + 8y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 10 + 8y = -6 + 0 10 + 8y = -6 Add '-10' to each side of the equation. 10 + -10 + 8y = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 8y = -6 + -10 8y = -6 + -10 Combine like terms: -6 + -10 = -16 8y = -16 Divide each side by '8'. y = -2 Simplifying y = -2
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