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Simplifying 12y + -26 = 2(4y + -3) Reorder the terms: -26 + 12y = 2(4y + -3) Reorder the terms: -26 + 12y = 2(-3 + 4y) -26 + 12y = (-3 * 2 + 4y * 2) -26 + 12y = (-6 + 8y) Solving -26 + 12y = -6 + 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 + 12y + -8y = -6 + 8y + -8y Combine like terms: 12y + -8y = 4y -26 + 4y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 -26 + 4y = -6 + 0 -26 + 4y = -6 Add '26' to each side of the equation. -26 + 26 + 4y = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 4y = -6 + 26 4y = -6 + 26 Combine like terms: -6 + 26 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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