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