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Simplifying 4(y + 8) = 7(y + 4) Reorder the terms: 4(8 + y) = 7(y + 4) (8 * 4 + y * 4) = 7(y + 4) (32 + 4y) = 7(y + 4) Reorder the terms: 32 + 4y = 7(4 + y) 32 + 4y = (4 * 7 + y * 7) 32 + 4y = (28 + 7y) Solving 32 + 4y = 28 + 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. 32 + 4y + -7y = 28 + 7y + -7y Combine like terms: 4y + -7y = -3y 32 + -3y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 32 + -3y = 28 + 0 32 + -3y = 28 Add '-32' to each side of the equation. 32 + -32 + -3y = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -3y = 28 + -32 -3y = 28 + -32 Combine like terms: 28 + -32 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333
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