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Simplifying 10y + -26 = 2(4y + -7) Reorder the terms: -26 + 10y = 2(4y + -7) Reorder the terms: -26 + 10y = 2(-7 + 4y) -26 + 10y = (-7 * 2 + 4y * 2) -26 + 10y = (-14 + 8y) Solving -26 + 10y = -14 + 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. -26 + 10y + -8y = -14 + 8y + -8y Combine like terms: 10y + -8y = 2y -26 + 2y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 -26 + 2y = -14 + 0 -26 + 2y = -14 Add '26' to each side of the equation. -26 + 26 + 2y = -14 + 26 Combine like terms: -26 + 26 = 0 0 + 2y = -14 + 26 2y = -14 + 26 Combine like terms: -14 + 26 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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