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Simplifying 2.1y + 19.67 + -0.19y = 1.2(3y + -7) Reorder the terms: 19.67 + 2.1y + -0.19y = 1.2(3y + -7) Combine like terms: 2.1y + -0.19y = 1.91y 19.67 + 1.91y = 1.2(3y + -7) Reorder the terms: 19.67 + 1.91y = 1.2(-7 + 3y) 19.67 + 1.91y = (-7 * 1.2 + 3y * 1.2) 19.67 + 1.91y = (-8.4 + 3.6y) Solving 19.67 + 1.91y = -8.4 + 3.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.6y' to each side of the equation. 19.67 + 1.91y + -3.6y = -8.4 + 3.6y + -3.6y Combine like terms: 1.91y + -3.6y = -1.69y 19.67 + -1.69y = -8.4 + 3.6y + -3.6y Combine like terms: 3.6y + -3.6y = 0.0 19.67 + -1.69y = -8.4 + 0.0 19.67 + -1.69y = -8.4 Add '-19.67' to each side of the equation. 19.67 + -19.67 + -1.69y = -8.4 + -19.67 Combine like terms: 19.67 + -19.67 = 0.00 0.00 + -1.69y = -8.4 + -19.67 -1.69y = -8.4 + -19.67 Combine like terms: -8.4 + -19.67 = -28.07 -1.69y = -28.07 Divide each side by '-1.69'. y = 16.60946746 Simplifying y = 16.60946746
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