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Simplifying 10(y + 6) + 18 = 6(y + -2) + 6 Reorder the terms: 10(6 + y) + 18 = 6(y + -2) + 6 (6 * 10 + y * 10) + 18 = 6(y + -2) + 6 (60 + 10y) + 18 = 6(y + -2) + 6 Reorder the terms: 60 + 18 + 10y = 6(y + -2) + 6 Combine like terms: 60 + 18 = 78 78 + 10y = 6(y + -2) + 6 Reorder the terms: 78 + 10y = 6(-2 + y) + 6 78 + 10y = (-2 * 6 + y * 6) + 6 78 + 10y = (-12 + 6y) + 6 Reorder the terms: 78 + 10y = -12 + 6 + 6y Combine like terms: -12 + 6 = -6 78 + 10y = -6 + 6y Solving 78 + 10y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 78 + 10y + -6y = -6 + 6y + -6y Combine like terms: 10y + -6y = 4y 78 + 4y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 78 + 4y = -6 + 0 78 + 4y = -6 Add '-78' to each side of the equation. 78 + -78 + 4y = -6 + -78 Combine like terms: 78 + -78 = 0 0 + 4y = -6 + -78 4y = -6 + -78 Combine like terms: -6 + -78 = -84 4y = -84 Divide each side by '4'. y = -21 Simplifying y = -21
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