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Simplifying 12(y + -7) + 6y = 10y + -1.5 Reorder the terms: 12(-7 + y) + 6y = 10y + -1.5 (-7 * 12 + y * 12) + 6y = 10y + -1.5 (-84 + 12y) + 6y = 10y + -1.5 Combine like terms: 12y + 6y = 18y -84 + 18y = 10y + -1.5 Reorder the terms: -84 + 18y = -1.5 + 10y Solving -84 + 18y = -1.5 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -84 + 18y + -10y = -1.5 + 10y + -10y Combine like terms: 18y + -10y = 8y -84 + 8y = -1.5 + 10y + -10y Combine like terms: 10y + -10y = 0 -84 + 8y = -1.5 + 0 -84 + 8y = -1.5 Add '84' to each side of the equation. -84 + 84 + 8y = -1.5 + 84 Combine like terms: -84 + 84 = 0 0 + 8y = -1.5 + 84 8y = -1.5 + 84 Combine like terms: -1.5 + 84 = 82.5 8y = 82.5 Divide each side by '8'. y = 10.3125 Simplifying y = 10.3125
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