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Simplifying 2(y + 1) = 6y + 30 Reorder the terms: 2(1 + y) = 6y + 30 (1 * 2 + y * 2) = 6y + 30 (2 + 2y) = 6y + 30 Reorder the terms: 2 + 2y = 30 + 6y Solving 2 + 2y = 30 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + 2y + -6y = 30 + 6y + -6y Combine like terms: 2y + -6y = -4y 2 + -4y = 30 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -4y = 30 + 0 2 + -4y = 30 Add '-2' to each side of the equation. 2 + -2 + -4y = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = 30 + -2 -4y = 30 + -2 Combine like terms: 30 + -2 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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