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Simplifying 4(y + 2) = 7y + 35 Reorder the terms: 4(2 + y) = 7y + 35 (2 * 4 + y * 4) = 7y + 35 (8 + 4y) = 7y + 35 Reorder the terms: 8 + 4y = 35 + 7y Solving 8 + 4y = 35 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8 + 4y + -7y = 35 + 7y + -7y Combine like terms: 4y + -7y = -3y 8 + -3y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + -3y = 35 + 0 8 + -3y = 35 Add '-8' to each side of the equation. 8 + -8 + -3y = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 35 + -8 -3y = 35 + -8 Combine like terms: 35 + -8 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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