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Simplifying 2(4y + -1) + 7y = -6(y + -1) + 17y Reorder the terms: 2(-1 + 4y) + 7y = -6(y + -1) + 17y (-1 * 2 + 4y * 2) + 7y = -6(y + -1) + 17y (-2 + 8y) + 7y = -6(y + -1) + 17y Combine like terms: 8y + 7y = 15y -2 + 15y = -6(y + -1) + 17y Reorder the terms: -2 + 15y = -6(-1 + y) + 17y -2 + 15y = (-1 * -6 + y * -6) + 17y -2 + 15y = (6 + -6y) + 17y Combine like terms: -6y + 17y = 11y -2 + 15y = 6 + 11y Solving -2 + 15y = 6 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -2 + 15y + -11y = 6 + 11y + -11y Combine like terms: 15y + -11y = 4y -2 + 4y = 6 + 11y + -11y Combine like terms: 11y + -11y = 0 -2 + 4y = 6 + 0 -2 + 4y = 6 Add '2' to each side of the equation. -2 + 2 + 4y = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4y = 6 + 2 4y = 6 + 2 Combine like terms: 6 + 2 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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