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Simplifying 0.18(y + -7) + 0.12y = 0.10y + -0.6 Reorder the terms: 0.18(-7 + y) + 0.12y = 0.10y + -0.6 (-7 * 0.18 + y * 0.18) + 0.12y = 0.10y + -0.6 (-1.26 + 0.18y) + 0.12y = 0.10y + -0.6 Combine like terms: 0.18y + 0.12y = 0.3y -1.26 + 0.3y = 0.10y + -0.6 Reorder the terms: -1.26 + 0.3y = -0.6 + 0.10y Solving -1.26 + 0.3y = -0.6 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -1.26 + 0.3y + -0.10y = -0.6 + 0.10y + -0.10y Combine like terms: 0.3y + -0.10y = 0.2y -1.26 + 0.2y = -0.6 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.26 + 0.2y = -0.6 + 0.00 -1.26 + 0.2y = -0.6 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.2y = -0.6 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.2y = -0.6 + 1.26 0.2y = -0.6 + 1.26 Combine like terms: -0.6 + 1.26 = 0.66 0.2y = 0.66 Divide each side by '0.2'. y = 3.3 Simplifying y = 3.3
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