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Simplifying -4(y + 3) + -3y = 2(y + 3) Reorder the terms: -4(3 + y) + -3y = 2(y + 3) (3 * -4 + y * -4) + -3y = 2(y + 3) (-12 + -4y) + -3y = 2(y + 3) Combine like terms: -4y + -3y = -7y -12 + -7y = 2(y + 3) Reorder the terms: -12 + -7y = 2(3 + y) -12 + -7y = (3 * 2 + y * 2) -12 + -7y = (6 + 2y) Solving -12 + -7y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + -7y + -2y = 6 + 2y + -2y Combine like terms: -7y + -2y = -9y -12 + -9y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -9y = 6 + 0 -12 + -9y = 6 Add '12' to each side of the equation. -12 + 12 + -9y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9y = 6 + 12 -9y = 6 + 12 Combine like terms: 6 + 12 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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