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Simplifying 5 + 6y + -23 = 5(2y + 8) * 10 Reorder the terms: 5 + -23 + 6y = 5(2y + 8) * 10 Combine like terms: 5 + -23 = -18 -18 + 6y = 5(2y + 8) * 10 Reorder the terms: -18 + 6y = 5(8 + 2y) * 10 Reorder the terms for easier multiplication: -18 + 6y = 5 * 10(8 + 2y) Multiply 5 * 10 -18 + 6y = 50(8 + 2y) -18 + 6y = (8 * 50 + 2y * 50) -18 + 6y = (400 + 100y) Solving -18 + 6y = 400 + 100y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-100y' to each side of the equation. -18 + 6y + -100y = 400 + 100y + -100y Combine like terms: 6y + -100y = -94y -18 + -94y = 400 + 100y + -100y Combine like terms: 100y + -100y = 0 -18 + -94y = 400 + 0 -18 + -94y = 400 Add '18' to each side of the equation. -18 + 18 + -94y = 400 + 18 Combine like terms: -18 + 18 = 0 0 + -94y = 400 + 18 -94y = 400 + 18 Combine like terms: 400 + 18 = 418 -94y = 418 Divide each side by '-94'. y = -4.446808511 Simplifying y = -4.446808511
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