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Simplifying 2(y + 8) + 5 = 4(8y + -12) + -7 Reorder the terms: 2(8 + y) + 5 = 4(8y + -12) + -7 (8 * 2 + y * 2) + 5 = 4(8y + -12) + -7 (16 + 2y) + 5 = 4(8y + -12) + -7 Reorder the terms: 16 + 5 + 2y = 4(8y + -12) + -7 Combine like terms: 16 + 5 = 21 21 + 2y = 4(8y + -12) + -7 Reorder the terms: 21 + 2y = 4(-12 + 8y) + -7 21 + 2y = (-12 * 4 + 8y * 4) + -7 21 + 2y = (-48 + 32y) + -7 Reorder the terms: 21 + 2y = -48 + -7 + 32y Combine like terms: -48 + -7 = -55 21 + 2y = -55 + 32y Solving 21 + 2y = -55 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 21 + 2y + -32y = -55 + 32y + -32y Combine like terms: 2y + -32y = -30y 21 + -30y = -55 + 32y + -32y Combine like terms: 32y + -32y = 0 21 + -30y = -55 + 0 21 + -30y = -55 Add '-21' to each side of the equation. 21 + -21 + -30y = -55 + -21 Combine like terms: 21 + -21 = 0 0 + -30y = -55 + -21 -30y = -55 + -21 Combine like terms: -55 + -21 = -76 -30y = -76 Divide each side by '-30'. y = 2.533333333 Simplifying y = 2.533333333
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