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Simplifying 0.16(y + -7) + 0.10y = 0.06y + -0.03(30) Reorder the terms: 0.16(-7 + y) + 0.10y = 0.06y + -0.03(30) (-7 * 0.16 + y * 0.16) + 0.10y = 0.06y + -0.03(30) (-1.12 + 0.16y) + 0.10y = 0.06y + -0.03(30) Combine like terms: 0.16y + 0.10y = 0.26y -1.12 + 0.26y = 0.06y + -0.03(30) Multiply -0.03 * 30 -1.12 + 0.26y = 0.06y + -0.9 Reorder the terms: -1.12 + 0.26y = -0.9 + 0.06y Solving -1.12 + 0.26y = -0.9 + 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 = -0.9 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -1.12 + 0.2y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.12 + 0.2y = -0.9 + 0.00 -1.12 + 0.2y = -0.9 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.2y = -0.9 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.2y = -0.9 + 1.12 0.2y = -0.9 + 1.12 Combine like terms: -0.9 + 1.12 = 0.22 0.2y = 0.22 Divide each side by '0.2'. y = 1.1 Simplifying y = 1.1
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