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Simplifying -4y + -5 + 3y + -6 = 4 + 2y + 7 Reorder the terms: -5 + -6 + -4y + 3y = 4 + 2y + 7 Combine like terms: -5 + -6 = -11 -11 + -4y + 3y = 4 + 2y + 7 Combine like terms: -4y + 3y = -1y -11 + -1y = 4 + 2y + 7 Reorder the terms: -11 + -1y = 4 + 7 + 2y Combine like terms: 4 + 7 = 11 -11 + -1y = 11 + 2y Solving -11 + -1y = 11 + 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. -11 + -1y + -2y = 11 + 2y + -2y Combine like terms: -1y + -2y = -3y -11 + -3y = 11 + 2y + -2y Combine like terms: 2y + -2y = 0 -11 + -3y = 11 + 0 -11 + -3y = 11 Add '11' to each side of the equation. -11 + 11 + -3y = 11 + 11 Combine like terms: -11 + 11 = 0 0 + -3y = 11 + 11 -3y = 11 + 11 Combine like terms: 11 + 11 = 22 -3y = 22 Divide each side by '-3'. y = -7.333333333 Simplifying y = -7.333333333
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