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Simplifying 0.12(y + -7) + 0.14y = 0.10y + -0.07(20) Reorder the terms: 0.12(-7 + y) + 0.14y = 0.10y + -0.07(20) (-7 * 0.12 + y * 0.12) + 0.14y = 0.10y + -0.07(20) (-0.84 + 0.12y) + 0.14y = 0.10y + -0.07(20) Combine like terms: 0.12y + 0.14y = 0.26y -0.84 + 0.26y = 0.10y + -0.07(20) Multiply -0.07 * 20 -0.84 + 0.26y = 0.10y + -1.4 Reorder the terms: -0.84 + 0.26y = -1.4 + 0.10y Solving -0.84 + 0.26y = -1.4 + 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. -0.84 + 0.26y + -0.10y = -1.4 + 0.10y + -0.10y Combine like terms: 0.26y + -0.10y = 0.16y -0.84 + 0.16y = -1.4 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.84 + 0.16y = -1.4 + 0.00 -0.84 + 0.16y = -1.4 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.16y = -1.4 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.16y = -1.4 + 0.84 0.16y = -1.4 + 0.84 Combine like terms: -1.4 + 0.84 = -0.56 0.16y = -0.56 Divide each side by '0.16'. y = -3.5 Simplifying y = -3.5
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