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Simplifying -5y + 6 = -3(y + 4) Reorder the terms: 6 + -5y = -3(y + 4) Reorder the terms: 6 + -5y = -3(4 + y) 6 + -5y = (4 * -3 + y * -3) 6 + -5y = (-12 + -3y) Solving 6 + -5y = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 6 + -5y + 3y = -12 + -3y + 3y Combine like terms: -5y + 3y = -2y 6 + -2y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 6 + -2y = -12 + 0 6 + -2y = -12 Add '-6' to each side of the equation. 6 + -6 + -2y = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -2y = -12 + -6 -2y = -12 + -6 Combine like terms: -12 + -6 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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