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Simplifying 6(30 + y) = 8(y + 19) (30 * 6 + y * 6) = 8(y + 19) (180 + 6y) = 8(y + 19) Reorder the terms: 180 + 6y = 8(19 + y) 180 + 6y = (19 * 8 + y * 8) 180 + 6y = (152 + 8y) Solving 180 + 6y = 152 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 180 + 6y + -8y = 152 + 8y + -8y Combine like terms: 6y + -8y = -2y 180 + -2y = 152 + 8y + -8y Combine like terms: 8y + -8y = 0 180 + -2y = 152 + 0 180 + -2y = 152 Add '-180' to each side of the equation. 180 + -180 + -2y = 152 + -180 Combine like terms: 180 + -180 = 0 0 + -2y = 152 + -180 -2y = 152 + -180 Combine like terms: 152 + -180 = -28 -2y = -28 Divide each side by '-2'. y = 14 Simplifying y = 14
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