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Simplifying 7y + -3y + -12 = 6(y + 3) Reorder the terms: -12 + 7y + -3y = 6(y + 3) Combine like terms: 7y + -3y = 4y -12 + 4y = 6(y + 3) Reorder the terms: -12 + 4y = 6(3 + y) -12 + 4y = (3 * 6 + y * 6) -12 + 4y = (18 + 6y) Solving -12 + 4y = 18 + 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. -12 + 4y + -6y = 18 + 6y + -6y Combine like terms: 4y + -6y = -2y -12 + -2y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -2y = 18 + 0 -12 + -2y = 18 Add '12' to each side of the equation. -12 + 12 + -2y = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 18 + 12 -2y = 18 + 12 Combine like terms: 18 + 12 = 30 -2y = 30 Divide each side by '-2'. y = -15 Simplifying y = -15
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