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Simplifying -6y + 10 = -2(4y + 2) Reorder the terms: 10 + -6y = -2(4y + 2) Reorder the terms: 10 + -6y = -2(2 + 4y) 10 + -6y = (2 * -2 + 4y * -2) 10 + -6y = (-4 + -8y) Solving 10 + -6y = -4 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 10 + -6y + 8y = -4 + -8y + 8y Combine like terms: -6y + 8y = 2y 10 + 2y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + 2y = -4 + 0 10 + 2y = -4 Add '-10' to each side of the equation. 10 + -10 + 2y = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = -4 + -10 2y = -4 + -10 Combine like terms: -4 + -10 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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