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Simplifying 8y + 2(y + -7) = 6(y + 1) + -3 Reorder the terms: 8y + 2(-7 + y) = 6(y + 1) + -3 8y + (-7 * 2 + y * 2) = 6(y + 1) + -3 8y + (-14 + 2y) = 6(y + 1) + -3 Reorder the terms: -14 + 8y + 2y = 6(y + 1) + -3 Combine like terms: 8y + 2y = 10y -14 + 10y = 6(y + 1) + -3 Reorder the terms: -14 + 10y = 6(1 + y) + -3 -14 + 10y = (1 * 6 + y * 6) + -3 -14 + 10y = (6 + 6y) + -3 Reorder the terms: -14 + 10y = 6 + -3 + 6y Combine like terms: 6 + -3 = 3 -14 + 10y = 3 + 6y Solving -14 + 10y = 3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -14 + 10y + -6y = 3 + 6y + -6y Combine like terms: 10y + -6y = 4y -14 + 4y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + 4y = 3 + 0 -14 + 4y = 3 Add '14' to each side of the equation. -14 + 14 + 4y = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 4y = 3 + 14 4y = 3 + 14 Combine like terms: 3 + 14 = 17 4y = 17 Divide each side by '4'. y = 4.25 Simplifying y = 4.25
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