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Simplifying 0.12(y + -7) + 0.14y = 0.16y + -0.07(10) Reorder the terms: 0.12(-7 + y) + 0.14y = 0.16y + -0.07(10) (-7 * 0.12 + y * 0.12) + 0.14y = 0.16y + -0.07(10) (-0.84 + 0.12y) + 0.14y = 0.16y + -0.07(10) Combine like terms: 0.12y + 0.14y = 0.26y -0.84 + 0.26y = 0.16y + -0.07(10) Multiply -0.07 * 10 -0.84 + 0.26y = 0.16y + -0.7 Reorder the terms: -0.84 + 0.26y = -0.7 + 0.16y Solving -0.84 + 0.26y = -0.7 + 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. -0.84 + 0.26y + -0.16y = -0.7 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -0.84 + 0.1y = -0.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.84 + 0.1y = -0.7 + 0.00 -0.84 + 0.1y = -0.7 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.1y = -0.7 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.1y = -0.7 + 0.84 0.1y = -0.7 + 0.84 Combine like terms: -0.7 + 0.84 = 0.14 0.1y = 0.14 Divide each side by '0.1'. y = 1.4 Simplifying y = 1.4
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