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Simplifying 9y + 13 = 4(2y + -5) + 12y Reorder the terms: 13 + 9y = 4(2y + -5) + 12y Reorder the terms: 13 + 9y = 4(-5 + 2y) + 12y 13 + 9y = (-5 * 4 + 2y * 4) + 12y 13 + 9y = (-20 + 8y) + 12y Combine like terms: 8y + 12y = 20y 13 + 9y = -20 + 20y Solving 13 + 9y = -20 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 13 + 9y + -20y = -20 + 20y + -20y Combine like terms: 9y + -20y = -11y 13 + -11y = -20 + 20y + -20y Combine like terms: 20y + -20y = 0 13 + -11y = -20 + 0 13 + -11y = -20 Add '-13' to each side of the equation. 13 + -13 + -11y = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -11y = -20 + -13 -11y = -20 + -13 Combine like terms: -20 + -13 = -33 -11y = -33 Divide each side by '-11'. y = 3 Simplifying y = 3
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