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Simplifying 12y + -22 = 2(4y + -5) Reorder the terms: -22 + 12y = 2(4y + -5) Reorder the terms: -22 + 12y = 2(-5 + 4y) -22 + 12y = (-5 * 2 + 4y * 2) -22 + 12y = (-10 + 8y) Solving -22 + 12y = -10 + 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. -22 + 12y + -8y = -10 + 8y + -8y Combine like terms: 12y + -8y = 4y -22 + 4y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -22 + 4y = -10 + 0 -22 + 4y = -10 Add '22' to each side of the equation. -22 + 22 + 4y = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 4y = -10 + 22 4y = -10 + 22 Combine like terms: -10 + 22 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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