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Simplifying -6y + -2 = -4(2y + -3) Reorder the terms: -2 + -6y = -4(2y + -3) Reorder the terms: -2 + -6y = -4(-3 + 2y) -2 + -6y = (-3 * -4 + 2y * -4) -2 + -6y = (12 + -8y) Solving -2 + -6y = 12 + -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. -2 + -6y + 8y = 12 + -8y + 8y Combine like terms: -6y + 8y = 2y -2 + 2y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 -2 + 2y = 12 + 0 -2 + 2y = 12 Add '2' to each side of the equation. -2 + 2 + 2y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 12 + 2 2y = 12 + 2 Combine like terms: 12 + 2 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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