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Simplifying 14(3y + 1) + -7(16 + -1y) + -6(9y + 1) = 3 Reorder the terms: 14(1 + 3y) + -7(16 + -1y) + -6(9y + 1) = 3 (1 * 14 + 3y * 14) + -7(16 + -1y) + -6(9y + 1) = 3 (14 + 42y) + -7(16 + -1y) + -6(9y + 1) = 3 14 + 42y + (16 * -7 + -1y * -7) + -6(9y + 1) = 3 14 + 42y + (-112 + 7y) + -6(9y + 1) = 3 Reorder the terms: 14 + 42y + -112 + 7y + -6(1 + 9y) = 3 14 + 42y + -112 + 7y + (1 * -6 + 9y * -6) = 3 14 + 42y + -112 + 7y + (-6 + -54y) = 3 Reorder the terms: 14 + -112 + -6 + 42y + 7y + -54y = 3 Combine like terms: 14 + -112 = -98 -98 + -6 + 42y + 7y + -54y = 3 Combine like terms: -98 + -6 = -104 -104 + 42y + 7y + -54y = 3 Combine like terms: 42y + 7y = 49y -104 + 49y + -54y = 3 Combine like terms: 49y + -54y = -5y -104 + -5y = 3 Solving -104 + -5y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + -5y = 3 + 104 Combine like terms: -104 + 104 = 0 0 + -5y = 3 + 104 -5y = 3 + 104 Combine like terms: 3 + 104 = 107 -5y = 107 Divide each side by '-5'. y = -21.4 Simplifying y = -21.4
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