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Simplifying 0.14(y + -8) + 0.12y = 0.06y + -0.03(70) Reorder the terms: 0.14(-8 + y) + 0.12y = 0.06y + -0.03(70) (-8 * 0.14 + y * 0.14) + 0.12y = 0.06y + -0.03(70) (-1.12 + 0.14y) + 0.12y = 0.06y + -0.03(70) Combine like terms: 0.14y + 0.12y = 0.26y -1.12 + 0.26y = 0.06y + -0.03(70) Multiply -0.03 * 70 -1.12 + 0.26y = 0.06y + -2.1 Reorder the terms: -1.12 + 0.26y = -2.1 + 0.06y Solving -1.12 + 0.26y = -2.1 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -1.12 + 0.26y + -0.06y = -2.1 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -1.12 + 0.2y = -2.1 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.12 + 0.2y = -2.1 + 0.00 -1.12 + 0.2y = -2.1 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.2y = -2.1 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.2y = -2.1 + 1.12 0.2y = -2.1 + 1.12 Combine like terms: -2.1 + 1.12 = -0.98 0.2y = -0.98 Divide each side by '0.2'. y = -4.9 Simplifying y = -4.9
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