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Simplifying 2(3y + 5) * 2 = 7(3y + 5) + 4 Reorder the terms: 2(5 + 3y) * 2 = 7(3y + 5) + 4 Reorder the terms for easier multiplication: 2 * 2(5 + 3y) = 7(3y + 5) + 4 Multiply 2 * 2 4(5 + 3y) = 7(3y + 5) + 4 (5 * 4 + 3y * 4) = 7(3y + 5) + 4 (20 + 12y) = 7(3y + 5) + 4 Reorder the terms: 20 + 12y = 7(5 + 3y) + 4 20 + 12y = (5 * 7 + 3y * 7) + 4 20 + 12y = (35 + 21y) + 4 Reorder the terms: 20 + 12y = 35 + 4 + 21y Combine like terms: 35 + 4 = 39 20 + 12y = 39 + 21y Solving 20 + 12y = 39 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 20 + 12y + -21y = 39 + 21y + -21y Combine like terms: 12y + -21y = -9y 20 + -9y = 39 + 21y + -21y Combine like terms: 21y + -21y = 0 20 + -9y = 39 + 0 20 + -9y = 39 Add '-20' to each side of the equation. 20 + -20 + -9y = 39 + -20 Combine like terms: 20 + -20 = 0 0 + -9y = 39 + -20 -9y = 39 + -20 Combine like terms: 39 + -20 = 19 -9y = 19 Divide each side by '-9'. y = -2.111111111 Simplifying y = -2.111111111
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