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Simplifying -6(y + 2) + 2y + 7 = 6y + 12 Reorder the terms: -6(2 + y) + 2y + 7 = 6y + 12 (2 * -6 + y * -6) + 2y + 7 = 6y + 12 (-12 + -6y) + 2y + 7 = 6y + 12 Reorder the terms: -12 + 7 + -6y + 2y = 6y + 12 Combine like terms: -12 + 7 = -5 -5 + -6y + 2y = 6y + 12 Combine like terms: -6y + 2y = -4y -5 + -4y = 6y + 12 Reorder the terms: -5 + -4y = 12 + 6y Solving -5 + -4y = 12 + 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. -5 + -4y + -6y = 12 + 6y + -6y Combine like terms: -4y + -6y = -10y -5 + -10y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + -10y = 12 + 0 -5 + -10y = 12 Add '5' to each side of the equation. -5 + 5 + -10y = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -10y = 12 + 5 -10y = 12 + 5 Combine like terms: 12 + 5 = 17 -10y = 17 Divide each side by '-10'. y = -1.7 Simplifying y = -1.7
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