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Simplifying 5(y + 2.6) = 12y + -19.2 Reorder the terms: 5(2.6 + y) = 12y + -19.2 (2.6 * 5 + y * 5) = 12y + -19.2 (13 + 5y) = 12y + -19.2 Reorder the terms: 13 + 5y = -19.2 + 12y Solving 13 + 5y = -19.2 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 13 + 5y + -12y = -19.2 + 12y + -12y Combine like terms: 5y + -12y = -7y 13 + -7y = -19.2 + 12y + -12y Combine like terms: 12y + -12y = 0 13 + -7y = -19.2 + 0 13 + -7y = -19.2 Add '-13' to each side of the equation. 13 + -13 + -7y = -19.2 + -13 Combine like terms: 13 + -13 = 0 0 + -7y = -19.2 + -13 -7y = -19.2 + -13 Combine like terms: -19.2 + -13 = -32.2 -7y = -32.2 Divide each side by '-7'. y = 4.6 Simplifying y = 4.6
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