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Simplifying 0.14(y + -7) + 0.12y = 0.16y + -0.07(20) Reorder the terms: 0.14(-7 + y) + 0.12y = 0.16y + -0.07(20) (-7 * 0.14 + y * 0.14) + 0.12y = 0.16y + -0.07(20) (-0.98 + 0.14y) + 0.12y = 0.16y + -0.07(20) Combine like terms: 0.14y + 0.12y = 0.26y -0.98 + 0.26y = 0.16y + -0.07(20) Multiply -0.07 * 20 -0.98 + 0.26y = 0.16y + -1.4 Reorder the terms: -0.98 + 0.26y = -1.4 + 0.16y Solving -0.98 + 0.26y = -1.4 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.98 + 0.26y + -0.16y = -1.4 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -0.98 + 0.1y = -1.4 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.98 + 0.1y = -1.4 + 0.00 -0.98 + 0.1y = -1.4 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.1y = -1.4 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.1y = -1.4 + 0.98 0.1y = -1.4 + 0.98 Combine like terms: -1.4 + 0.98 = -0.42 0.1y = -0.42 Divide each side by '0.1'. y = -4.2 Simplifying y = -4.2
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