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