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Simplifying -3(y + 5) + 5 = 2(y + -6) Reorder the terms: -3(5 + y) + 5 = 2(y + -6) (5 * -3 + y * -3) + 5 = 2(y + -6) (-15 + -3y) + 5 = 2(y + -6) Reorder the terms: -15 + 5 + -3y = 2(y + -6) Combine like terms: -15 + 5 = -10 -10 + -3y = 2(y + -6) Reorder the terms: -10 + -3y = 2(-6 + y) -10 + -3y = (-6 * 2 + y * 2) -10 + -3y = (-12 + 2y) Solving -10 + -3y = -12 + 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. -10 + -3y + -2y = -12 + 2y + -2y Combine like terms: -3y + -2y = -5y -10 + -5y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + -5y = -12 + 0 -10 + -5y = -12 Add '10' to each side of the equation. -10 + 10 + -5y = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -5y = -12 + 10 -5y = -12 + 10 Combine like terms: -12 + 10 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4
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