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Simplifying 6y + -6 = 4 + 4(y + 6) Reorder the terms: -6 + 6y = 4 + 4(y + 6) Reorder the terms: -6 + 6y = 4 + 4(6 + y) -6 + 6y = 4 + (6 * 4 + y * 4) -6 + 6y = 4 + (24 + 4y) Combine like terms: 4 + 24 = 28 -6 + 6y = 28 + 4y Solving -6 + 6y = 28 + 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 + 6y + -4y = 28 + 4y + -4y Combine like terms: 6y + -4y = 2y -6 + 2y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 2y = 28 + 0 -6 + 2y = 28 Add '6' to each side of the equation. -6 + 6 + 2y = 28 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 28 + 6 2y = 28 + 6 Combine like terms: 28 + 6 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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