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Simplifying -6.7y + -15.2y + 7 = -10.7y + -15.4 Reorder the terms: 7 + -6.7y + -15.2y = -10.7y + -15.4 Combine like terms: -6.7y + -15.2y = -21.9y 7 + -21.9y = -10.7y + -15.4 Reorder the terms: 7 + -21.9y = -15.4 + -10.7y Solving 7 + -21.9y = -15.4 + -10.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10.7y' to each side of the equation. 7 + -21.9y + 10.7y = -15.4 + -10.7y + 10.7y Combine like terms: -21.9y + 10.7y = -11.2y 7 + -11.2y = -15.4 + -10.7y + 10.7y Combine like terms: -10.7y + 10.7y = 0.0 7 + -11.2y = -15.4 + 0.0 7 + -11.2y = -15.4 Add '-7' to each side of the equation. 7 + -7 + -11.2y = -15.4 + -7 Combine like terms: 7 + -7 = 0 0 + -11.2y = -15.4 + -7 -11.2y = -15.4 + -7 Combine like terms: -15.4 + -7 = -22.4 -11.2y = -22.4 Divide each side by '-11.2'. y = 2 Simplifying y = 2
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