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Simplifying 6y + 2(y + -7) = 4(y + 1) + -3 Reorder the terms: 6y + 2(-7 + y) = 4(y + 1) + -3 6y + (-7 * 2 + y * 2) = 4(y + 1) + -3 6y + (-14 + 2y) = 4(y + 1) + -3 Reorder the terms: -14 + 6y + 2y = 4(y + 1) + -3 Combine like terms: 6y + 2y = 8y -14 + 8y = 4(y + 1) + -3 Reorder the terms: -14 + 8y = 4(1 + y) + -3 -14 + 8y = (1 * 4 + y * 4) + -3 -14 + 8y = (4 + 4y) + -3 Reorder the terms: -14 + 8y = 4 + -3 + 4y Combine like terms: 4 + -3 = 1 -14 + 8y = 1 + 4y Solving -14 + 8y = 1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -14 + 8y + -4y = 1 + 4y + -4y Combine like terms: 8y + -4y = 4y -14 + 4y = 1 + 4y + -4y Combine like terms: 4y + -4y = 0 -14 + 4y = 1 + 0 -14 + 4y = 1 Add '14' to each side of the equation. -14 + 14 + 4y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 4y = 1 + 14 4y = 1 + 14 Combine like terms: 1 + 14 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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