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Simplifying 0.16(y + -4) + 0.02y = 0.12y + -0.7 Reorder the terms: 0.16(-4 + y) + 0.02y = 0.12y + -0.7 (-4 * 0.16 + y * 0.16) + 0.02y = 0.12y + -0.7 (-0.64 + 0.16y) + 0.02y = 0.12y + -0.7 Combine like terms: 0.16y + 0.02y = 0.18y -0.64 + 0.18y = 0.12y + -0.7 Reorder the terms: -0.64 + 0.18y = -0.7 + 0.12y Solving -0.64 + 0.18y = -0.7 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.64 + 0.18y + -0.12y = -0.7 + 0.12y + -0.12y Combine like terms: 0.18y + -0.12y = 0.06y -0.64 + 0.06y = -0.7 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.64 + 0.06y = -0.7 + 0.00 -0.64 + 0.06y = -0.7 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.06y = -0.7 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.06y = -0.7 + 0.64 0.06y = -0.7 + 0.64 Combine like terms: -0.7 + 0.64 = -0.06 0.06y = -0.06 Divide each side by '0.06'. y = -1 Simplifying y = -1
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