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Simplifying 0.12(y + -7) + 0.18y = 0.16 + -2.1 Reorder the terms: 0.12(-7 + y) + 0.18y = 0.16 + -2.1 (-7 * 0.12 + y * 0.12) + 0.18y = 0.16 + -2.1 (-0.84 + 0.12y) + 0.18y = 0.16 + -2.1 Combine like terms: 0.12y + 0.18y = 0.3y -0.84 + 0.3y = 0.16 + -2.1 Combine like terms: 0.16 + -2.1 = -1.94 -0.84 + 0.3y = -1.94 Solving -0.84 + 0.3y = -1.94 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.3y = -1.94 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.3y = -1.94 + 0.84 0.3y = -1.94 + 0.84 Combine like terms: -1.94 + 0.84 = -1.1 0.3y = -1.1 Divide each side by '0.3'. y = -3.666666667 Simplifying y = -3.666666667
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